What is the Greatest Common Factor of 78974 and 78978?

Greatest common factor (GCF) of 78974 and 78978 is 2.

GCF(78974,78978) = 2

We will now calculate the prime factors of 78974 and 78978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78974 and 78978.

How to find the GCF of 78974 and 78978?

We will first find the prime factorization of 78974 and 78978. After we will calculate the factors of 78974 and 78978 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 78978

Prime factors of 78978 are 2, 3, 13163. Prime factorization of 78978 in exponential form is:

78978 = 2¹ × 3¹ × 13163¹

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 78978

List of positive integer factors of 78978 that divides 78974 without a remainder.

1, 2, 3, 6, 13163, 26326, 39489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78974 and 78978. The biggest common factor number is the GCF number.
So the greatest common factor 78974 and 78978 is 2.

Also check out the Least Common Multiple of 78974 and 78978