What is the Greatest Common Factor of 79740 and 79756?

Greatest common factor (GCF) of 79740 and 79756 is 4.

GCF(79740,79756) = 4

We will now calculate the prime factors of 79740 and 79756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79740 and 79756.

How to find the GCF of 79740 and 79756?

We will first find the prime factorization of 79740 and 79756. After we will calculate the factors of 79740 and 79756 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 79756

Prime factors of 79756 are 2, 127, 157. Prime factorization of 79756 in exponential form is:

79756 = 2² × 127¹ × 157¹

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 79756

List of positive integer factors of 79756 that divides 79740 without a remainder.

1, 2, 4, 127, 157, 254, 314, 508, 628, 19939, 39878

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79740 and 79756. The biggest common factor number is the GCF number.
So the greatest common factor 79740 and 79756 is 4.

Also check out the Least Common Multiple of 79740 and 79756