What is the Greatest Common Factor of 79931 and 79947?

Greatest common factor (GCF) of 79931 and 79947 is 1.

GCF(79931,79947) = 1

We will now calculate the prime factors of 79931 and 79947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79931 and 79947.

How to find the GCF of 79931 and 79947?

We will first find the prime factorization of 79931 and 79947. After we will calculate the factors of 79931 and 79947 and find the biggest common factor number .

Step-1: Prime Factorization of 79931

Prime factors of 79931 are 67, 1193. Prime factorization of 79931 in exponential form is:

79931 = 67¹ × 1193¹

Step-2: Prime Factorization of 79947

Prime factors of 79947 are 3, 7, 47. Prime factorization of 79947 in exponential form is:

79947 = 3⁵ × 7¹ × 47¹

Step-3: Factors of 79931

List of positive integer factors of 79931 that divides 79931 without a remainder.

1, 67, 1193

Step-4: Factors of 79947

List of positive integer factors of 79947 that divides 79931 without a remainder.

1, 3, 7, 9, 21, 27, 47, 63, 81, 141, 189, 243, 329, 423, 567, 987, 1269, 1701, 2961, 3807, 8883, 11421, 26649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79931 and 79947. The biggest common factor number is the GCF number.
So the greatest common factor 79931 and 79947 is 1.

Also check out the Least Common Multiple of 79931 and 79947