What is the Greatest Common Factor of 60360 and 60375?

Greatest common factor (GCF) of 60360 and 60375 is 15.

GCF(60360,60375) = 15

We will now calculate the prime factors of 60360 and 60375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60360 and 60375.

How to find the GCF of 60360 and 60375?

We will first find the prime factorization of 60360 and 60375. After we will calculate the factors of 60360 and 60375 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 60375

Prime factors of 60375 are 3, 5, 7, 23. Prime factorization of 60375 in exponential form is:

60375 = 3¹ × 5³ × 7¹ × 23¹

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 60375

List of positive integer factors of 60375 that divides 60360 without a remainder.

1, 3, 5, 7, 15, 21, 23, 25, 35, 69, 75, 105, 115, 125, 161, 175, 345, 375, 483, 525, 575, 805, 875, 1725, 2415, 2625, 2875, 4025, 8625, 12075, 20125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60360 and 60375. The biggest common factor number is the GCF number.
So the greatest common factor 60360 and 60375 is 15.

Also check out the Least Common Multiple of 60360 and 60375