What is the Greatest Common Factor of 60360 and 60376?

Greatest common factor (GCF) of 60360 and 60376 is 8.

GCF(60360,60376) = 8

We will now calculate the prime factors of 60360 and 60376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60360 and 60376.

How to find the GCF of 60360 and 60376?

We will first find the prime factorization of 60360 and 60376. After we will calculate the factors of 60360 and 60376 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60376

Prime factors of 60376 are 2, 7547. Prime factorization of 60376 in exponential form is:

60376 = 2³ × 7547¹

Step-3: Factors of 60360

List of positive integer factors of 60360 that divides 60360 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

Step-4: Factors of 60376

List of positive integer factors of 60376 that divides 60360 without a remainder.

1, 2, 4, 8, 7547, 15094, 30188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60360 and 60376. The biggest common factor number is the GCF number.
So the greatest common factor 60360 and 60376 is 8.

Also check out the Least Common Multiple of 60360 and 60376