What is the Greatest Common Factor of 60228 and 60244?

Greatest common factor (GCF) of 60228 and 60244 is 4.

GCF(60228,60244) = 4

We will now calculate the prime factors of 60228 and 60244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60228 and 60244.

How to find the GCF of 60228 and 60244?

We will first find the prime factorization of 60228 and 60244. After we will calculate the factors of 60228 and 60244 and find the biggest common factor number .

Step-1: Prime Factorization of 60228

Prime factors of 60228 are 2, 3, 7, 239. Prime factorization of 60228 in exponential form is:

60228 = 2² × 3² × 7¹ × 239¹

Step-2: Prime Factorization of 60244

Prime factors of 60244 are 2, 15061. Prime factorization of 60244 in exponential form is:

60244 = 2² × 15061¹

Step-3: Factors of 60228

List of positive integer factors of 60228 that divides 60228 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 239, 252, 478, 717, 956, 1434, 1673, 2151, 2868, 3346, 4302, 5019, 6692, 8604, 10038, 15057, 20076, 30114

Step-4: Factors of 60244

List of positive integer factors of 60244 that divides 60228 without a remainder.

1, 2, 4, 15061, 30122

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60228 and 60244. The biggest common factor number is the GCF number.
So the greatest common factor 60228 and 60244 is 4.

Also check out the Least Common Multiple of 60228 and 60244