What is the Greatest Common Factor of 79221 and 79237?

Greatest common factor (GCF) of 79221 and 79237 is 1.

GCF(79221,79237) = 1

We will now calculate the prime factors of 79221 and 79237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79221 and 79237.

How to find the GCF of 79221 and 79237?

We will first find the prime factorization of 79221 and 79237. After we will calculate the factors of 79221 and 79237 and find the biggest common factor number .

Step-1: Prime Factorization of 79221

Prime factors of 79221 are 3, 26407. Prime factorization of 79221 in exponential form is:

79221 = 3¹ × 26407¹

Step-2: Prime Factorization of 79237

Prime factors of 79237 are 17, 59, 79. Prime factorization of 79237 in exponential form is:

79237 = 17¹ × 59¹ × 79¹

Step-3: Factors of 79221

List of positive integer factors of 79221 that divides 79221 without a remainder.

1, 3, 26407

Step-4: Factors of 79237

List of positive integer factors of 79237 that divides 79221 without a remainder.

1, 17, 59, 79, 1003, 1343, 4661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79221 and 79237. The biggest common factor number is the GCF number.
So the greatest common factor 79221 and 79237 is 1.

Also check out the Least Common Multiple of 79221 and 79237