What is the Greatest Common Factor of 78974 and 78992?

Greatest common factor (GCF) of 78974 and 78992 is 2.

GCF(78974,78992) = 2

We will now calculate the prime factors of 78974 and 78992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78974 and 78992.

How to find the GCF of 78974 and 78992?

We will first find the prime factorization of 78974 and 78992. After we will calculate the factors of 78974 and 78992 and find the biggest common factor number .

Step-1: Prime Factorization of 78974

Prime factors of 78974 are 2, 7, 5641. Prime factorization of 78974 in exponential form is:

78974 = 2¹ × 7¹ × 5641¹

Step-2: Prime Factorization of 78992

Prime factors of 78992 are 2, 4937. Prime factorization of 78992 in exponential form is:

78992 = 2⁴ × 4937¹

Step-3: Factors of 78974

List of positive integer factors of 78974 that divides 78974 without a remainder.

1, 2, 7, 14, 5641, 11282, 39487

Step-4: Factors of 78992

List of positive integer factors of 78992 that divides 78974 without a remainder.

1, 2, 4, 8, 16, 4937, 9874, 19748, 39496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78974 and 78992. The biggest common factor number is the GCF number.
So the greatest common factor 78974 and 78992 is 2.

Also check out the Least Common Multiple of 78974 and 78992