What is the Greatest Common Factor of 79368 and 79372?

Greatest common factor (GCF) of 79368 and 79372 is 4.

GCF(79368,79372) = 4

We will now calculate the prime factors of 79368 and 79372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79368 and 79372.

How to find the GCF of 79368 and 79372?

We will first find the prime factorization of 79368 and 79372. After we will calculate the factors of 79368 and 79372 and find the biggest common factor number .

Step-1: Prime Factorization of 79368

Prime factors of 79368 are 2, 3, 3307. Prime factorization of 79368 in exponential form is:

79368 = 2³ × 3¹ × 3307¹

Step-2: Prime Factorization of 79372

Prime factors of 79372 are 2, 19843. Prime factorization of 79372 in exponential form is:

79372 = 2² × 19843¹

Step-3: Factors of 79368

List of positive integer factors of 79368 that divides 79368 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3307, 6614, 9921, 13228, 19842, 26456, 39684

Step-4: Factors of 79372

List of positive integer factors of 79372 that divides 79368 without a remainder.

1, 2, 4, 19843, 39686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79368 and 79372. The biggest common factor number is the GCF number.
So the greatest common factor 79368 and 79372 is 4.

Also check out the Least Common Multiple of 79368 and 79372