What is the Greatest Common Factor of 79332 and 79341?

Greatest common factor (GCF) of 79332 and 79341 is 3.

GCF(79332,79341) = 3

We will now calculate the prime factors of 79332 and 79341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79332 and 79341.

How to find the GCF of 79332 and 79341?

We will first find the prime factorization of 79332 and 79341. After we will calculate the factors of 79332 and 79341 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 79341

Prime factors of 79341 are 3, 53, 499. Prime factorization of 79341 in exponential form is:

79341 = 3¹ × 53¹ × 499¹

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 79341

List of positive integer factors of 79341 that divides 79332 without a remainder.

1, 3, 53, 159, 499, 1497, 26447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79332 and 79341. The biggest common factor number is the GCF number.
So the greatest common factor 79332 and 79341 is 3.

Also check out the Least Common Multiple of 79332 and 79341