What is the Greatest Common Factor of 78958 and 78971?

Greatest common factor (GCF) of 78958 and 78971 is 1.

GCF(78958,78971) = 1

We will now calculate the prime factors of 78958 and 78971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78958 and 78971.

How to find the GCF of 78958 and 78971?

We will first find the prime factorization of 78958 and 78971. After we will calculate the factors of 78958 and 78971 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 78971

Prime factors of 78971 are 157, 503. Prime factorization of 78971 in exponential form is:

78971 = 157¹ × 503¹

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 78971

List of positive integer factors of 78971 that divides 78958 without a remainder.

1, 157, 503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78958 and 78971. The biggest common factor number is the GCF number.
So the greatest common factor 78958 and 78971 is 1.

Also check out the Least Common Multiple of 78958 and 78971