What is the Greatest Common Factor of 60135 and 60154?

Greatest common factor (GCF) of 60135 and 60154 is 19.

GCF(60135,60154) = 19

We will now calculate the prime factors of 60135 and 60154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60135 and 60154.

How to find the GCF of 60135 and 60154?

We will first find the prime factorization of 60135 and 60154. After we will calculate the factors of 60135 and 60154 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60154

Prime factors of 60154 are 2, 19, 1583. Prime factorization of 60154 in exponential form is:

60154 = 2¹ × 19¹ × 1583¹

Step-3: Factors of 60135

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

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

Step-4: Factors of 60154

List of positive integer factors of 60154 that divides 60135 without a remainder.

1, 2, 19, 38, 1583, 3166, 30077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60135 and 60154. The biggest common factor number is the GCF number.
So the greatest common factor 60135 and 60154 is 19.

Also check out the Least Common Multiple of 60135 and 60154