What is the Greatest Common Factor of 79332 and 79348?

Greatest common factor (GCF) of 79332 and 79348 is 4.

GCF(79332,79348) = 4

We will now calculate the prime factors of 79332 and 79348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79332 and 79348.

How to find the GCF of 79332 and 79348?

We will first find the prime factorization of 79332 and 79348. After we will calculate the factors of 79332 and 79348 and find the biggest common factor number .

Step-1: Prime Factorization of 79332

Prime factors of 79332 are 2, 3, 11, 601. Prime factorization of 79332 in exponential form is:

79332 = 2² × 3¹ × 11¹ × 601¹

Step-2: Prime Factorization of 79348

Prime factors of 79348 are 2, 83, 239. Prime factorization of 79348 in exponential form is:

79348 = 2² × 83¹ × 239¹

Step-3: Factors of 79332

List of positive integer factors of 79332 that divides 79332 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 601, 1202, 1803, 2404, 3606, 6611, 7212, 13222, 19833, 26444, 39666

Step-4: Factors of 79348

List of positive integer factors of 79348 that divides 79332 without a remainder.

1, 2, 4, 83, 166, 239, 332, 478, 956, 19837, 39674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79332 and 79348. The biggest common factor number is the GCF number.
So the greatest common factor 79332 and 79348 is 4.

Also check out the Least Common Multiple of 79332 and 79348