What is the Greatest Common Factor of 79870 and 79877?

Greatest common factor (GCF) of 79870 and 79877 is 7.

GCF(79870,79877) = 7

We will now calculate the prime factors of 79870 and 79877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79870 and 79877.

How to find the GCF of 79870 and 79877?

We will first find the prime factorization of 79870 and 79877. After we will calculate the factors of 79870 and 79877 and find the biggest common factor number .

Step-1: Prime Factorization of 79870

Prime factors of 79870 are 2, 5, 7, 163. Prime factorization of 79870 in exponential form is:

79870 = 2¹ × 5¹ × 7² × 163¹

Step-2: Prime Factorization of 79877

Prime factors of 79877 are 7, 11411. Prime factorization of 79877 in exponential form is:

79877 = 7¹ × 11411¹

Step-3: Factors of 79870

List of positive integer factors of 79870 that divides 79870 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 163, 245, 326, 490, 815, 1141, 1630, 2282, 5705, 7987, 11410, 15974, 39935

Step-4: Factors of 79877

List of positive integer factors of 79877 that divides 79870 without a remainder.

1, 7, 11411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79870 and 79877. The biggest common factor number is the GCF number.
So the greatest common factor 79870 and 79877 is 7.

Also check out the Least Common Multiple of 79870 and 79877