What is the Greatest Common Factor of 74138 and 74151?

Greatest common factor (GCF) of 74138 and 74151 is 1.

GCF(74138,74151) = 1

We will now calculate the prime factors of 74138 and 74151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74138 and 74151.

How to find the GCF of 74138 and 74151?

We will first find the prime factorization of 74138 and 74151. After we will calculate the factors of 74138 and 74151 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 74151

Prime factors of 74151 are 3, 7, 11, 107. Prime factorization of 74151 in exponential form is:

74151 = 3² × 7¹ × 11¹ × 107¹

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 74151

List of positive integer factors of 74151 that divides 74138 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 107, 231, 321, 693, 749, 963, 1177, 2247, 3531, 6741, 8239, 10593, 24717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74138 and 74151. The biggest common factor number is the GCF number.
So the greatest common factor 74138 and 74151 is 1.

Also check out the Least Common Multiple of 74138 and 74151