What is the Greatest Common Factor of 74119 and 74138?

Greatest common factor (GCF) of 74119 and 74138 is 19.

GCF(74119,74138) = 19

We will now calculate the prime factors of 74119 and 74138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74119 and 74138.

How to find the GCF of 74119 and 74138?

We will first find the prime factorization of 74119 and 74138. After we will calculate the factors of 74119 and 74138 and find the biggest common factor number .

Step-1: Prime Factorization of 74119

Prime factors of 74119 are 19, 47, 83. Prime factorization of 74119 in exponential form is:

74119 = 19¹ × 47¹ × 83¹

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 74119

List of positive integer factors of 74119 that divides 74119 without a remainder.

1, 19, 47, 83, 893, 1577, 3901

Step-4: Factors of 74138

List of positive integer factors of 74138 that divides 74119 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74119 and 74138. The biggest common factor number is the GCF number.
So the greatest common factor 74119 and 74138 is 19.

Also check out the Least Common Multiple of 74119 and 74138