What is the Greatest Common Factor of 88972 and 88980?

Greatest common factor (GCF) of 88972 and 88980 is 4.

GCF(88972,88980) = 4

We will now calculate the prime factors of 88972 and 88980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88972 and 88980.

How to find the GCF of 88972 and 88980?

We will first find the prime factorization of 88972 and 88980. After we will calculate the factors of 88972 and 88980 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 88980

Prime factors of 88980 are 2, 3, 5, 1483. Prime factorization of 88980 in exponential form is:

88980 = 2² × 3¹ × 5¹ × 1483¹

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 88980

List of positive integer factors of 88980 that divides 88972 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1483, 2966, 4449, 5932, 7415, 8898, 14830, 17796, 22245, 29660, 44490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88972 and 88980. The biggest common factor number is the GCF number.
So the greatest common factor 88972 and 88980 is 4.

Also check out the Least Common Multiple of 88972 and 88980