What is the Greatest Common Factor of 79807 and 79820?

Greatest common factor (GCF) of 79807 and 79820 is 13.

GCF(79807,79820) = 13

We will now calculate the prime factors of 79807 and 79820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79807 and 79820.

How to find the GCF of 79807 and 79820?

We will first find the prime factorization of 79807 and 79820. After we will calculate the factors of 79807 and 79820 and find the biggest common factor number .

Step-1: Prime Factorization of 79807

Prime factors of 79807 are 7, 13, 877. Prime factorization of 79807 in exponential form is:

79807 = 7¹ × 13¹ × 877¹

Step-2: 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-3: Factors of 79807

List of positive integer factors of 79807 that divides 79807 without a remainder.

1, 7, 13, 91, 877, 6139, 11401

Step-4: Factors of 79820

List of positive integer factors of 79820 that divides 79807 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79807 and 79820. The biggest common factor number is the GCF number.
So the greatest common factor 79807 and 79820 is 13.

Also check out the Least Common Multiple of 79807 and 79820