What is the Greatest Common Factor of 98964 and 98972?

Greatest common factor (GCF) of 98964 and 98972 is 4.

GCF(98964,98972) = 4

We will now calculate the prime factors of 98964 and 98972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98964 and 98972.

How to find the GCF of 98964 and 98972?

We will first find the prime factorization of 98964 and 98972. After we will calculate the factors of 98964 and 98972 and find the biggest common factor number .

Step-1: Prime Factorization of 98964

Prime factors of 98964 are 2, 3, 2749. Prime factorization of 98964 in exponential form is:

98964 = 2² × 3² × 2749¹

Step-2: Prime Factorization of 98972

Prime factors of 98972 are 2, 109, 227. Prime factorization of 98972 in exponential form is:

98972 = 2² × 109¹ × 227¹

Step-3: Factors of 98964

List of positive integer factors of 98964 that divides 98964 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2749, 5498, 8247, 10996, 16494, 24741, 32988, 49482

Step-4: Factors of 98972

List of positive integer factors of 98972 that divides 98964 without a remainder.

1, 2, 4, 109, 218, 227, 436, 454, 908, 24743, 49486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98964 and 98972. The biggest common factor number is the GCF number.
So the greatest common factor 98964 and 98972 is 4.

Also check out the Least Common Multiple of 98964 and 98972