What is the Greatest Common Factor of 98988 and 98996?

Greatest common factor (GCF) of 98988 and 98996 is 4.

GCF(98988,98996) = 4

We will now calculate the prime factors of 98988 and 98996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98988 and 98996.

How to find the GCF of 98988 and 98996?

We will first find the prime factorization of 98988 and 98996. After we will calculate the factors of 98988 and 98996 and find the biggest common factor number .

Step-1: Prime Factorization of 98988

Prime factors of 98988 are 2, 3, 73, 113. Prime factorization of 98988 in exponential form is:

98988 = 2² × 3¹ × 73¹ × 113¹

Step-2: Prime Factorization of 98996

Prime factors of 98996 are 2, 24749. Prime factorization of 98996 in exponential form is:

98996 = 2² × 24749¹

Step-3: Factors of 98988

List of positive integer factors of 98988 that divides 98988 without a remainder.

1, 2, 3, 4, 6, 12, 73, 113, 146, 219, 226, 292, 339, 438, 452, 678, 876, 1356, 8249, 16498, 24747, 32996, 49494

Step-4: Factors of 98996

List of positive integer factors of 98996 that divides 98988 without a remainder.

1, 2, 4, 24749, 49498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98988 and 98996. The biggest common factor number is the GCF number.
So the greatest common factor 98988 and 98996 is 4.

Also check out the Least Common Multiple of 98988 and 98996