What is the Greatest Common Factor of 60375 and 60389?

Greatest common factor (GCF) of 60375 and 60389 is 7.

GCF(60375,60389) = 7

We will now calculate the prime factors of 60375 and 60389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60375 and 60389.

How to find the GCF of 60375 and 60389?

We will first find the prime factorization of 60375 and 60389. After we will calculate the factors of 60375 and 60389 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 60389

Prime factors of 60389 are 7, 8627. Prime factorization of 60389 in exponential form is:

60389 = 7¹ × 8627¹

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 60389

List of positive integer factors of 60389 that divides 60375 without a remainder.

1, 7, 8627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60375 and 60389. The biggest common factor number is the GCF number.
So the greatest common factor 60375 and 60389 is 7.

Also check out the Least Common Multiple of 60375 and 60389