What is the Greatest Common Factor of 74275 and 74291?

Greatest common factor (GCF) of 74275 and 74291 is 1.

GCF(74275,74291) = 1

We will now calculate the prime factors of 74275 and 74291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74275 and 74291.

How to find the GCF of 74275 and 74291?

We will first find the prime factorization of 74275 and 74291. After we will calculate the factors of 74275 and 74291 and find the biggest common factor number .

Step-1: Prime Factorization of 74275

Prime factors of 74275 are 5, 2971. Prime factorization of 74275 in exponential form is:

74275 = 5² × 2971¹

Step-2: Prime Factorization of 74291

Prime factors of 74291 are 7, 10613. Prime factorization of 74291 in exponential form is:

74291 = 7¹ × 10613¹

Step-3: Factors of 74275

List of positive integer factors of 74275 that divides 74275 without a remainder.

1, 5, 25, 2971, 14855

Step-4: Factors of 74291

List of positive integer factors of 74291 that divides 74275 without a remainder.

1, 7, 10613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74275 and 74291. The biggest common factor number is the GCF number.
So the greatest common factor 74275 and 74291 is 1.

Also check out the Least Common Multiple of 74275 and 74291