What is the Greatest Common Factor of 78958 and 78974?

Greatest common factor (GCF) of 78958 and 78974 is 2.

GCF(78958,78974) = 2

We will now calculate the prime factors of 78958 and 78974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78958 and 78974.

How to find the GCF of 78958 and 78974?

We will first find the prime factorization of 78958 and 78974. After we will calculate the factors of 78958 and 78974 and find the biggest common factor number .

Step-1: Prime Factorization of 78958

Prime factors of 78958 are 2, 11, 37, 97. Prime factorization of 78958 in exponential form is:

78958 = 2¹ × 11¹ × 37¹ × 97¹

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 78958

List of positive integer factors of 78958 that divides 78958 without a remainder.

1, 2, 11, 22, 37, 74, 97, 194, 407, 814, 1067, 2134, 3589, 7178, 39479

Step-4: Factors of 78974

List of positive integer factors of 78974 that divides 78958 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78958 and 78974. The biggest common factor number is the GCF number.
So the greatest common factor 78958 and 78974 is 2.

Also check out the Least Common Multiple of 78958 and 78974