What is the Greatest Common Factor of 74204 and 74213?

Greatest common factor (GCF) of 74204 and 74213 is 1.

GCF(74204,74213) = 1

We will now calculate the prime factors of 74204 and 74213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74204 and 74213.

How to find the GCF of 74204 and 74213?

We will first find the prime factorization of 74204 and 74213. After we will calculate the factors of 74204 and 74213 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74213

Prime factors of 74213 are 47, 1579. Prime factorization of 74213 in exponential form is:

74213 = 47¹ × 1579¹

Step-3: Factors of 74204

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

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

Step-4: Factors of 74213

List of positive integer factors of 74213 that divides 74204 without a remainder.

1, 47, 1579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74204 and 74213. The biggest common factor number is the GCF number.
So the greatest common factor 74204 and 74213 is 1.

Also check out the Least Common Multiple of 74204 and 74213