What is the Greatest Common Factor of 60123 and 60135?

Greatest common factor (GCF) of 60123 and 60135 is 3.

GCF(60123,60135) = 3

We will now calculate the prime factors of 60123 and 60135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60123 and 60135.

How to find the GCF of 60123 and 60135?

We will first find the prime factorization of 60123 and 60135. After we will calculate the factors of 60123 and 60135 and find the biggest common factor number .

Step-1: Prime Factorization of 60123

Prime factors of 60123 are 3, 7, 409. Prime factorization of 60123 in exponential form is:

60123 = 3¹ × 7² × 409¹

Step-2: Prime Factorization of 60135

Prime factors of 60135 are 3, 5, 19, 211. Prime factorization of 60135 in exponential form is:

60135 = 3¹ × 5¹ × 19¹ × 211¹

Step-3: Factors of 60123

List of positive integer factors of 60123 that divides 60123 without a remainder.

1, 3, 7, 21, 49, 147, 409, 1227, 2863, 8589, 20041

Step-4: Factors of 60135

List of positive integer factors of 60135 that divides 60123 without a remainder.

1, 3, 5, 15, 19, 57, 95, 211, 285, 633, 1055, 3165, 4009, 12027, 20045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60123 and 60135. The biggest common factor number is the GCF number.
So the greatest common factor 60123 and 60135 is 3.

Also check out the Least Common Multiple of 60123 and 60135