What is the Greatest Common Factor of 79820 and 79828?

Greatest common factor (GCF) of 79820 and 79828 is 4.

GCF(79820,79828) = 4

We will now calculate the prime factors of 79820 and 79828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79820 and 79828.

How to find the GCF of 79820 and 79828?

We will first find the prime factorization of 79820 and 79828. After we will calculate the factors of 79820 and 79828 and find the biggest common factor number .

Step-1: Prime Factorization of 79820

Prime factors of 79820 are 2, 5, 13, 307. Prime factorization of 79820 in exponential form is:

79820 = 2² × 5¹ × 13¹ × 307¹

Step-2: Prime Factorization of 79828

Prime factors of 79828 are 2, 7, 2851. Prime factorization of 79828 in exponential form is:

79828 = 2² × 7¹ × 2851¹

Step-3: Factors of 79820

List of positive integer factors of 79820 that divides 79820 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 307, 614, 1228, 1535, 3070, 3991, 6140, 7982, 15964, 19955, 39910

Step-4: Factors of 79828

List of positive integer factors of 79828 that divides 79820 without a remainder.

1, 2, 4, 7, 14, 28, 2851, 5702, 11404, 19957, 39914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79820 and 79828. The biggest common factor number is the GCF number.
So the greatest common factor 79820 and 79828 is 4.

Also check out the Least Common Multiple of 79820 and 79828