What is the Greatest Common Factor of 88972 and 88988?

Greatest common factor (GCF) of 88972 and 88988 is 4.

GCF(88972,88988) = 4

We will now calculate the prime factors of 88972 and 88988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88972 and 88988.

How to find the GCF of 88972 and 88988?

We will first find the prime factorization of 88972 and 88988. After we will calculate the factors of 88972 and 88988 and find the biggest common factor number .

Step-1: Prime Factorization of 88972

Prime factors of 88972 are 2, 13, 29, 59. Prime factorization of 88972 in exponential form is:

88972 = 2² × 13¹ × 29¹ × 59¹

Step-2: Prime Factorization of 88988

Prime factors of 88988 are 2, 22247. Prime factorization of 88988 in exponential form is:

88988 = 2² × 22247¹

Step-3: Factors of 88972

List of positive integer factors of 88972 that divides 88972 without a remainder.

1, 2, 4, 13, 26, 29, 52, 58, 59, 116, 118, 236, 377, 754, 767, 1508, 1534, 1711, 3068, 3422, 6844, 22243, 44486

Step-4: Factors of 88988

List of positive integer factors of 88988 that divides 88972 without a remainder.

1, 2, 4, 22247, 44494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88972 and 88988. The biggest common factor number is the GCF number.
So the greatest common factor 88972 and 88988 is 4.

Also check out the Least Common Multiple of 88972 and 88988