What is the Greatest Common Factor of 98756 and 98772?

Greatest common factor (GCF) of 98756 and 98772 is 4.

GCF(98756,98772) = 4

We will now calculate the prime factors of 98756 and 98772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98756 and 98772.

How to find the GCF of 98756 and 98772?

We will first find the prime factorization of 98756 and 98772. After we will calculate the factors of 98756 and 98772 and find the biggest common factor number .

Step-1: Prime Factorization of 98756

Prime factors of 98756 are 2, 7, 3527. Prime factorization of 98756 in exponential form is:

98756 = 2² × 7¹ × 3527¹

Step-2: Prime Factorization of 98772

Prime factors of 98772 are 2, 3, 8231. Prime factorization of 98772 in exponential form is:

98772 = 2² × 3¹ × 8231¹

Step-3: Factors of 98756

List of positive integer factors of 98756 that divides 98756 without a remainder.

1, 2, 4, 7, 14, 28, 3527, 7054, 14108, 24689, 49378

Step-4: Factors of 98772

List of positive integer factors of 98772 that divides 98756 without a remainder.

1, 2, 3, 4, 6, 12, 8231, 16462, 24693, 32924, 49386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98756 and 98772. The biggest common factor number is the GCF number.
So the greatest common factor 98756 and 98772 is 4.

Also check out the Least Common Multiple of 98756 and 98772