What is the Greatest Common Factor of 79341 and 79347?

Greatest common factor (GCF) of 79341 and 79347 is 3.

GCF(79341,79347) = 3

We will now calculate the prime factors of 79341 and 79347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79341 and 79347.

How to find the GCF of 79341 and 79347?

We will first find the prime factorization of 79341 and 79347. After we will calculate the factors of 79341 and 79347 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79347

Prime factors of 79347 are 3, 26449. Prime factorization of 79347 in exponential form is:

79347 = 3¹ × 26449¹

Step-3: Factors of 79341

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

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

Step-4: Factors of 79347

List of positive integer factors of 79347 that divides 79341 without a remainder.

1, 3, 26449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79341 and 79347. The biggest common factor number is the GCF number.
So the greatest common factor 79341 and 79347 is 3.

Also check out the Least Common Multiple of 79341 and 79347