What is the Greatest Common Factor of 60342 and 60360?

Greatest common factor (GCF) of 60342 and 60360 is 6.

GCF(60342,60360) = 6

We will now calculate the prime factors of 60342 and 60360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60342 and 60360.

How to find the GCF of 60342 and 60360?

We will first find the prime factorization of 60342 and 60360. After we will calculate the factors of 60342 and 60360 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 60360

Prime factors of 60360 are 2, 3, 5, 503. Prime factorization of 60360 in exponential form is:

60360 = 2³ × 3¹ × 5¹ × 503¹

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 60360

List of positive integer factors of 60360 that divides 60342 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 503, 1006, 1509, 2012, 2515, 3018, 4024, 5030, 6036, 7545, 10060, 12072, 15090, 20120, 30180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60342 and 60360. The biggest common factor number is the GCF number.
So the greatest common factor 60342 and 60360 is 6.

Also check out the Least Common Multiple of 60342 and 60360