What is the Greatest Common Factor of 74051 and 74069?

Greatest common factor (GCF) of 74051 and 74069 is 1.

GCF(74051,74069) = 1

We will now calculate the prime factors of 74051 and 74069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74051 and 74069.

How to find the GCF of 74051 and 74069?

We will first find the prime factorization of 74051 and 74069. After we will calculate the factors of 74051 and 74069 and find the biggest common factor number .

Step-1: Prime Factorization of 74051

Prime factors of 74051 are 74051. Prime factorization of 74051 in exponential form is:

74051 = 74051¹

Step-2: Prime Factorization of 74069

Prime factors of 74069 are 17, 4357. Prime factorization of 74069 in exponential form is:

74069 = 17¹ × 4357¹

Step-3: Factors of 74051

List of positive integer factors of 74051 that divides 74051 without a remainder.

Step-4: Factors of 74069

List of positive integer factors of 74069 that divides 74051 without a remainder.

1, 17, 4357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74051 and 74069. The biggest common factor number is the GCF number.
So the greatest common factor 74051 and 74069 is 1.

Also check out the Least Common Multiple of 74051 and 74069