What is the Greatest Common Factor of 60375 and 60392?

Greatest common factor (GCF) of 60375 and 60392 is 1.

GCF(60375,60392) = 1

We will now calculate the prime factors of 60375 and 60392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60375 and 60392.

How to find the GCF of 60375 and 60392?

We will first find the prime factorization of 60375 and 60392. After we will calculate the factors of 60375 and 60392 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60392

Prime factors of 60392 are 2, 7549. Prime factorization of 60392 in exponential form is:

60392 = 2³ × 7549¹

Step-3: Factors of 60375

List of positive integer factors of 60375 that divides 60375 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

Step-4: Factors of 60392

List of positive integer factors of 60392 that divides 60375 without a remainder.

1, 2, 4, 8, 7549, 15098, 30196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60375 and 60392. The biggest common factor number is the GCF number.
So the greatest common factor 60375 and 60392 is 1.

Also check out the Least Common Multiple of 60375 and 60392