What is the Greatest Common Factor of 78967 and 78974?

Greatest common factor (GCF) of 78967 and 78974 is 7.

GCF(78967,78974) = 7

We will now calculate the prime factors of 78967 and 78974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78967 and 78974.

How to find the GCF of 78967 and 78974?

We will first find the prime factorization of 78967 and 78974. After we will calculate the factors of 78967 and 78974 and find the biggest common factor number .

Step-1: Prime Factorization of 78967

Prime factors of 78967 are 7, 29, 389. Prime factorization of 78967 in exponential form is:

78967 = 7¹ × 29¹ × 389¹

Step-2: 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-3: Factors of 78967

List of positive integer factors of 78967 that divides 78967 without a remainder.

1, 7, 29, 203, 389, 2723, 11281

Step-4: Factors of 78974

List of positive integer factors of 78974 that divides 78967 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78967 and 78974. The biggest common factor number is the GCF number.
So the greatest common factor 78967 and 78974 is 7.

Also check out the Least Common Multiple of 78967 and 78974