What is the Greatest Common Factor of 60342 and 60357?

Greatest common factor (GCF) of 60342 and 60357 is 3.

GCF(60342,60357) = 3

We will now calculate the prime factors of 60342 and 60357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60342 and 60357.

How to find the GCF of 60342 and 60357?

We will first find the prime factorization of 60342 and 60357. After we will calculate the factors of 60342 and 60357 and find the biggest common factor number .

Step-1: Prime Factorization of 60342

Prime factors of 60342 are 2, 3, 89, 113. Prime factorization of 60342 in exponential form is:

60342 = 2¹ × 3¹ × 89¹ × 113¹

Step-2: Prime Factorization of 60357

Prime factors of 60357 are 3, 11, 31, 59. Prime factorization of 60357 in exponential form is:

60357 = 3¹ × 11¹ × 31¹ × 59¹

Step-3: Factors of 60342

List of positive integer factors of 60342 that divides 60342 without a remainder.

1, 2, 3, 6, 89, 113, 178, 226, 267, 339, 534, 678, 10057, 20114, 30171

Step-4: Factors of 60357

List of positive integer factors of 60357 that divides 60342 without a remainder.

1, 3, 11, 31, 33, 59, 93, 177, 341, 649, 1023, 1829, 1947, 5487, 20119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60342 and 60357. The biggest common factor number is the GCF number.
So the greatest common factor 60342 and 60357 is 3.

Also check out the Least Common Multiple of 60342 and 60357