What is the Greatest Common Factor of 79724 and 79740?

Greatest common factor (GCF) of 79724 and 79740 is 4.

GCF(79724,79740) = 4

We will now calculate the prime factors of 79724 and 79740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79724 and 79740.

How to find the GCF of 79724 and 79740?

We will first find the prime factorization of 79724 and 79740. After we will calculate the factors of 79724 and 79740 and find the biggest common factor number .

Step-1: Prime Factorization of 79724

Prime factors of 79724 are 2, 19, 1049. Prime factorization of 79724 in exponential form is:

79724 = 2² × 19¹ × 1049¹

Step-2: 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-3: Factors of 79724

List of positive integer factors of 79724 that divides 79724 without a remainder.

1, 2, 4, 19, 38, 76, 1049, 2098, 4196, 19931, 39862

Step-4: Factors of 79740

List of positive integer factors of 79740 that divides 79724 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79724 and 79740. The biggest common factor number is the GCF number.
So the greatest common factor 79724 and 79740 is 4.

Also check out the Least Common Multiple of 79724 and 79740