What is the Greatest Common Factor of 79870 and 79884?

Greatest common factor (GCF) of 79870 and 79884 is 14.

GCF(79870,79884) = 14

We will now calculate the prime factors of 79870 and 79884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79870 and 79884.

How to find the GCF of 79870 and 79884?

We will first find the prime factorization of 79870 and 79884. After we will calculate the factors of 79870 and 79884 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 79884

Prime factors of 79884 are 2, 3, 7, 317. Prime factorization of 79884 in exponential form is:

79884 = 2² × 3² × 7¹ × 317¹

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 79884

List of positive integer factors of 79884 that divides 79870 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 317, 634, 951, 1268, 1902, 2219, 2853, 3804, 4438, 5706, 6657, 8876, 11412, 13314, 19971, 26628, 39942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79870 and 79884. The biggest common factor number is the GCF number.
So the greatest common factor 79870 and 79884 is 14.

Also check out the Least Common Multiple of 79870 and 79884