What is the Greatest Common Factor of 79898 and 79912?

Greatest common factor (GCF) of 79898 and 79912 is 14.

GCF(79898,79912) = 14

We will now calculate the prime factors of 79898 and 79912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79898 and 79912.

How to find the GCF of 79898 and 79912?

We will first find the prime factorization of 79898 and 79912. After we will calculate the factors of 79898 and 79912 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79912

Prime factors of 79912 are 2, 7, 1427. Prime factorization of 79912 in exponential form is:

79912 = 2³ × 7¹ × 1427¹

Step-3: Factors of 79898

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

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

Step-4: Factors of 79912

List of positive integer factors of 79912 that divides 79898 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1427, 2854, 5708, 9989, 11416, 19978, 39956

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79898 and 79912. The biggest common factor number is the GCF number.
So the greatest common factor 79898 and 79912 is 14.

Also check out the Least Common Multiple of 79898 and 79912