What is the Greatest Common Factor of 74021 and 74041?

Greatest common factor (GCF) of 74021 and 74041 is 1.

GCF(74021,74041) = 1

We will now calculate the prime factors of 74021 and 74041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74021 and 74041.

How to find the GCF of 74021 and 74041?

We will first find the prime factorization of 74021 and 74041. After we will calculate the factors of 74021 and 74041 and find the biggest common factor number .

Step-1: Prime Factorization of 74021

Prime factors of 74021 are 74021. Prime factorization of 74021 in exponential form is:

74021 = 74021¹

Step-2: Prime Factorization of 74041

Prime factors of 74041 are 11, 53, 127. Prime factorization of 74041 in exponential form is:

74041 = 11¹ × 53¹ × 127¹

Step-3: Factors of 74021

List of positive integer factors of 74021 that divides 74021 without a remainder.

Step-4: Factors of 74041

List of positive integer factors of 74041 that divides 74021 without a remainder.

1, 11, 53, 127, 583, 1397, 6731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74021 and 74041. The biggest common factor number is the GCF number.
So the greatest common factor 74021 and 74041 is 1.

Also check out the Least Common Multiple of 74021 and 74041