What is the Greatest Common Factor of 60375 and 60379?

Greatest common factor (GCF) of 60375 and 60379 is 1.

GCF(60375,60379) = 1

We will now calculate the prime factors of 60375 and 60379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60375 and 60379.

How to find the GCF of 60375 and 60379?

We will first find the prime factorization of 60375 and 60379. After we will calculate the factors of 60375 and 60379 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 60379

Prime factors of 60379 are 11, 499. Prime factorization of 60379 in exponential form is:

60379 = 11² × 499¹

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 60379

List of positive integer factors of 60379 that divides 60375 without a remainder.

1, 11, 121, 499, 5489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60375 and 60379. The biggest common factor number is the GCF number.
So the greatest common factor 60375 and 60379 is 1.

Also check out the Least Common Multiple of 60375 and 60379