What is the Greatest Common Factor of 60119 and 60138?

Greatest common factor (GCF) of 60119 and 60138 is 1.

GCF(60119,60138) = 1

We will now calculate the prime factors of 60119 and 60138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60119 and 60138.

How to find the GCF of 60119 and 60138?

We will first find the prime factorization of 60119 and 60138. After we will calculate the factors of 60119 and 60138 and find the biggest common factor number .

Step-1: Prime Factorization of 60119

Prime factors of 60119 are 79, 761. Prime factorization of 60119 in exponential form is:

60119 = 79¹ × 761¹

Step-2: Prime Factorization of 60138

Prime factors of 60138 are 2, 3, 13, 257. Prime factorization of 60138 in exponential form is:

60138 = 2¹ × 3² × 13¹ × 257¹

Step-3: Factors of 60119

List of positive integer factors of 60119 that divides 60119 without a remainder.

1, 79, 761

Step-4: Factors of 60138

List of positive integer factors of 60138 that divides 60119 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 257, 514, 771, 1542, 2313, 3341, 4626, 6682, 10023, 20046, 30069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60119 and 60138. The biggest common factor number is the GCF number.
So the greatest common factor 60119 and 60138 is 1.

Also check out the Least Common Multiple of 60119 and 60138