What is The HCF of 504 and 980?
Highest Common Factor of two numbers, 504 and 980 is the highest possible number which divides the numbers, 504 and 980 exactly without any remainder.
Answer: HCF of 504 and 980 is 28
Explanation:
HCF of 504 and 980 by Prime Factorization
Express 504 and 980 as a product of its prime factors.
Prime factorization of 504 is 2 × 2 × 2 × 3 × 3 × 7
Prime factorization of 980 is 2 × 2 × 5 × 7 × 7
The common factors in the prime factorization of 504 and 980 are 2, 2, and 7
HCF is the product of the prime factors that are common to prime factorization of 504 and 980
Since the common factors are 2, 2, and 7, the HCF of 504 and 980 is 28

HCF of 504 and 980 by Listing the Common Factors
There are six common factors of 504 and 980, that are, 1, 2, 4, 7, 14, and 28
So, HCF of 504 and 980 is 28
You can find the HCF in any of the above methods but the solution will be the same.
Thus, HCF of 504 and 980 is 28
Download FREE Study Materials
SHEETS