What is the Greatest Common Factor of 79932 and 79947?

Greatest common factor (GCF) of 79932 and 79947 is 3.

GCF(79932,79947) = 3

We will now calculate the prime factors of 79932 and 79947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79932 and 79947.

How to find the GCF of 79932 and 79947?

We will first find the prime factorization of 79932 and 79947. After we will calculate the factors of 79932 and 79947 and find the biggest common factor number .

Step-1: Prime Factorization of 79932

Prime factors of 79932 are 2, 3, 6661. Prime factorization of 79932 in exponential form is:

79932 = 2² × 3¹ × 6661¹

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 79932

List of positive integer factors of 79932 that divides 79932 without a remainder.

1, 2, 3, 4, 6, 12, 6661, 13322, 19983, 26644, 39966

Step-4: Factors of 79947

List of positive integer factors of 79947 that divides 79932 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 79932 and 79947. The biggest common factor number is the GCF number.
So the greatest common factor 79932 and 79947 is 3.

Also check out the Least Common Multiple of 79932 and 79947