What is the Greatest Common Factor of 79144 and 79164?

Greatest common factor (GCF) of 79144 and 79164 is 4.

GCF(79144,79164) = 4

We will now calculate the prime factors of 79144 and 79164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79144 and 79164.

How to find the GCF of 79144 and 79164?

We will first find the prime factorization of 79144 and 79164. After we will calculate the factors of 79144 and 79164 and find the biggest common factor number .

Step-1: Prime Factorization of 79144

Prime factors of 79144 are 2, 13, 761. Prime factorization of 79144 in exponential form is:

79144 = 2³ × 13¹ × 761¹

Step-2: Prime Factorization of 79164

Prime factors of 79164 are 2, 3, 733. Prime factorization of 79164 in exponential form is:

79164 = 2² × 3³ × 733¹

Step-3: Factors of 79144

List of positive integer factors of 79144 that divides 79144 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 761, 1522, 3044, 6088, 9893, 19786, 39572

Step-4: Factors of 79164

List of positive integer factors of 79164 that divides 79144 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 733, 1466, 2199, 2932, 4398, 6597, 8796, 13194, 19791, 26388, 39582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79144 and 79164. The biggest common factor number is the GCF number.
So the greatest common factor 79144 and 79164 is 4.

Also check out the Least Common Multiple of 79144 and 79164