What is the Greatest Common Factor of 74191 and 74204?

Greatest common factor (GCF) of 74191 and 74204 is 13.

GCF(74191,74204) = 13

We will now calculate the prime factors of 74191 and 74204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74191 and 74204.

How to find the GCF of 74191 and 74204?

We will first find the prime factorization of 74191 and 74204. After we will calculate the factors of 74191 and 74204 and find the biggest common factor number .

Step-1: Prime Factorization of 74191

Prime factors of 74191 are 13, 439. Prime factorization of 74191 in exponential form is:

74191 = 13² × 439¹

Step-2: Prime Factorization of 74204

Prime factors of 74204 are 2, 13, 1427. Prime factorization of 74204 in exponential form is:

74204 = 2² × 13¹ × 1427¹

Step-3: Factors of 74191

List of positive integer factors of 74191 that divides 74191 without a remainder.

1, 13, 169, 439, 5707

Step-4: Factors of 74204

List of positive integer factors of 74204 that divides 74191 without a remainder.

1, 2, 4, 13, 26, 52, 1427, 2854, 5708, 18551, 37102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74191 and 74204. The biggest common factor number is the GCF number.
So the greatest common factor 74191 and 74204 is 13.

Also check out the Least Common Multiple of 74191 and 74204