What is the Greatest Common Factor of 74129 and 74138?

Greatest common factor (GCF) of 74129 and 74138 is 1.

GCF(74129,74138) = 1

We will now calculate the prime factors of 74129 and 74138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74129 and 74138.

How to find the GCF of 74129 and 74138?

We will first find the prime factorization of 74129 and 74138. After we will calculate the factors of 74129 and 74138 and find the biggest common factor number .

Step-1: Prime Factorization of 74129

Prime factors of 74129 are 11, 23, 293. Prime factorization of 74129 in exponential form is:

74129 = 11¹ × 23¹ × 293¹

Step-2: Prime Factorization of 74138

Prime factors of 74138 are 2, 19, 1951. Prime factorization of 74138 in exponential form is:

74138 = 2¹ × 19¹ × 1951¹

Step-3: Factors of 74129

List of positive integer factors of 74129 that divides 74129 without a remainder.

1, 11, 23, 253, 293, 3223, 6739

Step-4: Factors of 74138

List of positive integer factors of 74138 that divides 74129 without a remainder.

1, 2, 19, 38, 1951, 3902, 37069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74129 and 74138. The biggest common factor number is the GCF number.
So the greatest common factor 74129 and 74138 is 1.

Also check out the Least Common Multiple of 74129 and 74138