What is the GCF of 24 and 84?
Greatest Common Factor of 14 and 22 is the largest possible number which divides both 14 and 22 exactly.
Answer: GCF of 24 and 84 is 12.
GCF of 24 and 84 will the greatest number that divides 24 and 84 completely, without any remainder.
Explanation
Method 1: GCF of 24 and 84 by Prime Factorisation Method
Prime Factorisation of 24: 2 × 2 × 2 × 3
Prime Factorisation of 84: 2 × 2 × 3 × 7
Common Factors of 24 and 84 are 2, 2, and 3.
Hence, the greatest common factor of 24 and 84 = 2 × 2 × 3 = 12
Method 2: GCF of 24 and 84 by Long Division

Step 1: Divide the larger number 84 by the smaller number 24 and check the remainder. Here, the remainder is 12.

Step 2: Make the remainder 12 as the divisor and the divisor 24 as the dividend and perform the long division again.

Step 3: Continue till you get the remainder as 0 and GCF of 24 and 84 is the last divisor obtained.
You can find the GCF of 24 and 84 in any of the above methods but the solution will be the same.