What is the Greatest Common Factor of 79220 and 79237?

Greatest common factor (GCF) of 79220 and 79237 is 17.

GCF(79220,79237) = 17

We will now calculate the prime factors of 79220 and 79237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79220 and 79237.

How to find the GCF of 79220 and 79237?

We will first find the prime factorization of 79220 and 79237. After we will calculate the factors of 79220 and 79237 and find the biggest common factor number .

Step-1: Prime Factorization of 79220

Prime factors of 79220 are 2, 5, 17, 233. Prime factorization of 79220 in exponential form is:

79220 = 2² × 5¹ × 17¹ × 233¹

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 79220

List of positive integer factors of 79220 that divides 79220 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 233, 340, 466, 932, 1165, 2330, 3961, 4660, 7922, 15844, 19805, 39610

Step-4: Factors of 79237

List of positive integer factors of 79237 that divides 79220 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79220 and 79237. The biggest common factor number is the GCF number.
So the greatest common factor 79220 and 79237 is 17.

Also check out the Least Common Multiple of 79220 and 79237