What is the Greatest Common Factor of 74021 and 74036?

Greatest common factor (GCF) of 74021 and 74036 is 1.

GCF(74021,74036) = 1

We will now calculate the prime factors of 74021 and 74036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74021 and 74036.

How to find the GCF of 74021 and 74036?

We will first find the prime factorization of 74021 and 74036. After we will calculate the factors of 74021 and 74036 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 74036

Prime factors of 74036 are 2, 83, 223. Prime factorization of 74036 in exponential form is:

74036 = 2² × 83¹ × 223¹

Step-3: Factors of 74021

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

Step-4: Factors of 74036

List of positive integer factors of 74036 that divides 74021 without a remainder.

1, 2, 4, 83, 166, 223, 332, 446, 892, 18509, 37018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74021 and 74036. The biggest common factor number is the GCF number.
So the greatest common factor 74021 and 74036 is 1.

Also check out the Least Common Multiple of 74021 and 74036