What is the Greatest Common Factor of 60389 and 60396?

Greatest common factor (GCF) of 60389 and 60396 is 7.

GCF(60389,60396) = 7

We will now calculate the prime factors of 60389 and 60396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60389 and 60396.

How to find the GCF of 60389 and 60396?

We will first find the prime factorization of 60389 and 60396. After we will calculate the factors of 60389 and 60396 and find the biggest common factor number .

Step-1: Prime Factorization of 60389

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

60389 = 7¹ × 8627¹

Step-2: Prime Factorization of 60396

Prime factors of 60396 are 2, 3, 7, 719. Prime factorization of 60396 in exponential form is:

60396 = 2² × 3¹ × 7¹ × 719¹

Step-3: Factors of 60389

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

1, 7, 8627

Step-4: Factors of 60396

List of positive integer factors of 60396 that divides 60389 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 719, 1438, 2157, 2876, 4314, 5033, 8628, 10066, 15099, 20132, 30198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60389 and 60396. The biggest common factor number is the GCF number.
So the greatest common factor 60389 and 60396 is 7.

Also check out the Least Common Multiple of 60389 and 60396