What is the Greatest Common Factor of 79228 and 79244?

Greatest common factor (GCF) of 79228 and 79244 is 4.

GCF(79228,79244) = 4

We will now calculate the prime factors of 79228 and 79244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79228 and 79244.

How to find the GCF of 79228 and 79244?

We will first find the prime factorization of 79228 and 79244. After we will calculate the factors of 79228 and 79244 and find the biggest common factor number .

Step-1: Prime Factorization of 79228

Prime factors of 79228 are 2, 29, 683. Prime factorization of 79228 in exponential form is:

79228 = 2² × 29¹ × 683¹

Step-2: Prime Factorization of 79244

Prime factors of 79244 are 2, 11, 1801. Prime factorization of 79244 in exponential form is:

79244 = 2² × 11¹ × 1801¹

Step-3: Factors of 79228

List of positive integer factors of 79228 that divides 79228 without a remainder.

1, 2, 4, 29, 58, 116, 683, 1366, 2732, 19807, 39614

Step-4: Factors of 79244

List of positive integer factors of 79244 that divides 79228 without a remainder.

1, 2, 4, 11, 22, 44, 1801, 3602, 7204, 19811, 39622

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79228 and 79244. The biggest common factor number is the GCF number.
So the greatest common factor 79228 and 79244 is 4.

Also check out the Least Common Multiple of 79228 and 79244