What is the Greatest Common Factor of 79884 and 79898?

Greatest common factor (GCF) of 79884 and 79898 is 14.

GCF(79884,79898) = 14

We will now calculate the prime factors of 79884 and 79898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79884 and 79898.

How to find the GCF of 79884 and 79898?

We will first find the prime factorization of 79884 and 79898. After we will calculate the factors of 79884 and 79898 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79898

Prime factors of 79898 are 2, 7, 13, 439. Prime factorization of 79898 in exponential form is:

79898 = 2¹ × 7¹ × 13¹ × 439¹

Step-3: Factors of 79884

List of positive integer factors of 79884 that divides 79884 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

Step-4: Factors of 79898

List of positive integer factors of 79898 that divides 79884 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 439, 878, 3073, 5707, 6146, 11414, 39949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79884 and 79898. The biggest common factor number is the GCF number.
So the greatest common factor 79884 and 79898 is 14.

Also check out the Least Common Multiple of 79884 and 79898