What is the Greatest Common Factor of 78972 and 78988?

Greatest common factor (GCF) of 78972 and 78988 is 4.

GCF(78972,78988) = 4

We will now calculate the prime factors of 78972 and 78988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78972 and 78988.

How to find the GCF of 78972 and 78988?

We will first find the prime factorization of 78972 and 78988. After we will calculate the factors of 78972 and 78988 and find the biggest common factor number .

Step-1: Prime Factorization of 78972

Prime factors of 78972 are 2, 3, 6581. Prime factorization of 78972 in exponential form is:

78972 = 2² × 3¹ × 6581¹

Step-2: Prime Factorization of 78988

Prime factors of 78988 are 2, 7, 13, 31. Prime factorization of 78988 in exponential form is:

78988 = 2² × 7² × 13¹ × 31¹

Step-3: Factors of 78972

List of positive integer factors of 78972 that divides 78972 without a remainder.

1, 2, 3, 4, 6, 12, 6581, 13162, 19743, 26324, 39486

Step-4: Factors of 78988

List of positive integer factors of 78988 that divides 78972 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 31, 49, 52, 62, 91, 98, 124, 182, 196, 217, 364, 403, 434, 637, 806, 868, 1274, 1519, 1612, 2548, 2821, 3038, 5642, 6076, 11284, 19747, 39494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78972 and 78988. The biggest common factor number is the GCF number.
So the greatest common factor 78972 and 78988 is 4.

Also check out the Least Common Multiple of 78972 and 78988