What is the Greatest Common Factor of 79947 and 79953?

Greatest common factor (GCF) of 79947 and 79953 is 3.

GCF(79947,79953) = 3

We will now calculate the prime factors of 79947 and 79953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79947 and 79953.

How to find the GCF of 79947 and 79953?

We will first find the prime factorization of 79947 and 79953. After we will calculate the factors of 79947 and 79953 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79953

Prime factors of 79953 are 3, 29, 919. Prime factorization of 79953 in exponential form is:

79953 = 3¹ × 29¹ × 919¹

Step-3: Factors of 79947

List of positive integer factors of 79947 that divides 79947 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

Step-4: Factors of 79953

List of positive integer factors of 79953 that divides 79947 without a remainder.

1, 3, 29, 87, 919, 2757, 26651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79947 and 79953. The biggest common factor number is the GCF number.
So the greatest common factor 79947 and 79953 is 3.

Also check out the Least Common Multiple of 79947 and 79953