What is the Greatest Common Factor of 79740 and 79752?

Greatest common factor (GCF) of 79740 and 79752 is 12.

GCF(79740,79752) = 12

We will now calculate the prime factors of 79740 and 79752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79740 and 79752.

How to find the GCF of 79740 and 79752?

We will first find the prime factorization of 79740 and 79752. After we will calculate the factors of 79740 and 79752 and find the biggest common factor number .

Step-1: Prime Factorization of 79740

Prime factors of 79740 are 2, 3, 5, 443. Prime factorization of 79740 in exponential form is:

79740 = 2² × 3² × 5¹ × 443¹

Step-2: Prime Factorization of 79752

Prime factors of 79752 are 2, 3, 3323. Prime factorization of 79752 in exponential form is:

79752 = 2³ × 3¹ × 3323¹

Step-3: Factors of 79740

List of positive integer factors of 79740 that divides 79740 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 443, 886, 1329, 1772, 2215, 2658, 3987, 4430, 5316, 6645, 7974, 8860, 13290, 15948, 19935, 26580, 39870

Step-4: Factors of 79752

List of positive integer factors of 79752 that divides 79740 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3323, 6646, 9969, 13292, 19938, 26584, 39876

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79740 and 79752. The biggest common factor number is the GCF number.
So the greatest common factor 79740 and 79752 is 12.

Also check out the Least Common Multiple of 79740 and 79752