What is the Greatest Common Factor of 60228 and 60242?

Greatest common factor (GCF) of 60228 and 60242 is 14.

GCF(60228,60242) = 14

We will now calculate the prime factors of 60228 and 60242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60228 and 60242.

How to find the GCF of 60228 and 60242?

We will first find the prime factorization of 60228 and 60242. After we will calculate the factors of 60228 and 60242 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 60242

Prime factors of 60242 are 2, 7, 13, 331. Prime factorization of 60242 in exponential form is:

60242 = 2¹ × 7¹ × 13¹ × 331¹

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 60242

List of positive integer factors of 60242 that divides 60228 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 331, 662, 2317, 4303, 4634, 8606, 30121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60228 and 60242. The biggest common factor number is the GCF number.
So the greatest common factor 60228 and 60242 is 14.

Also check out the Least Common Multiple of 60228 and 60242