What is the GCF of 15 and 45?
The GCF of two natural numbers x and y is the largest possible number which divides both x and y.
Answer: GCF of 15 and 45 is 15
Let's find the GCF of 15 and 45
We can find the GCF by the following methods
GCF of 15 and 45 by Prime Factorization
Let us represent 15 and 45 as a product of their prime numbers:
Prime factorization of 15 is 3 x 5
Prime factorization of 45 is 3 x 3 x 5
Common factors = 3, 5
GCF is the product of the factors that are common to each of the given numbers.
GCF is 3 × 5 = 15
GCF of 15 and 45 by Long Division Method
- Step 1: Divide 45 by 15 and check the remainder.
- Step 2: Taking the remainder of the above step as the divisor and the divisor of the above step as the dividend, perform the long division again.
- Step 3: Continue until the remainder becomes 0.