What is the Greatest Common Factor of 74138 and 74147?

Greatest common factor (GCF) of 74138 and 74147 is 1.

GCF(74138,74147) = 1

We will now calculate the prime factors of 74138 and 74147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74138 and 74147.

How to find the GCF of 74138 and 74147?

We will first find the prime factorization of 74138 and 74147. After we will calculate the factors of 74138 and 74147 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74147

Prime factors of 74147 are 53, 1399. Prime factorization of 74147 in exponential form is:

74147 = 53¹ × 1399¹

Step-3: Factors of 74138

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

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

Step-4: Factors of 74147

List of positive integer factors of 74147 that divides 74138 without a remainder.

1, 53, 1399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74138 and 74147. The biggest common factor number is the GCF number.
So the greatest common factor 74138 and 74147 is 1.

Also check out the Least Common Multiple of 74138 and 74147