What is the Greatest Common Factor of 60228 and 60233?

Greatest common factor (GCF) of 60228 and 60233 is 1.

GCF(60228,60233) = 1

We will now calculate the prime factors of 60228 and 60233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60228 and 60233.

How to find the GCF of 60228 and 60233?

We will first find the prime factorization of 60228 and 60233. After we will calculate the factors of 60228 and 60233 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 60233

Prime factors of 60233 are 29, 31, 67. Prime factorization of 60233 in exponential form is:

60233 = 29¹ × 31¹ × 67¹

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 60233

List of positive integer factors of 60233 that divides 60228 without a remainder.

1, 29, 31, 67, 899, 1943, 2077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60228 and 60233. The biggest common factor number is the GCF number.
So the greatest common factor 60228 and 60233 is 1.

Also check out the Least Common Multiple of 60228 and 60233