What is the Greatest Common Factor of 79332 and 79343?

Greatest common factor (GCF) of 79332 and 79343 is 11.

GCF(79332,79343) = 11

We will now calculate the prime factors of 79332 and 79343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79332 and 79343.

How to find the GCF of 79332 and 79343?

We will first find the prime factorization of 79332 and 79343. After we will calculate the factors of 79332 and 79343 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 79343

Prime factors of 79343 are 11, 7213. Prime factorization of 79343 in exponential form is:

79343 = 11¹ × 7213¹

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 79343

List of positive integer factors of 79343 that divides 79332 without a remainder.

1, 11, 7213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79332 and 79343. The biggest common factor number is the GCF number.
So the greatest common factor 79332 and 79343 is 11.

Also check out the Least Common Multiple of 79332 and 79343