What is the Greatest Common Factor of 74210 and 74227?

Greatest common factor (GCF) of 74210 and 74227 is 1.

GCF(74210,74227) = 1

We will now calculate the prime factors of 74210 and 74227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74210 and 74227.

How to find the GCF of 74210 and 74227?

We will first find the prime factorization of 74210 and 74227. After we will calculate the factors of 74210 and 74227 and find the biggest common factor number .

Step-1: Prime Factorization of 74210

Prime factors of 74210 are 2, 5, 41, 181. Prime factorization of 74210 in exponential form is:

74210 = 2¹ × 5¹ × 41¹ × 181¹

Step-2: Prime Factorization of 74227

Prime factors of 74227 are 199, 373. Prime factorization of 74227 in exponential form is:

74227 = 199¹ × 373¹

Step-3: Factors of 74210

List of positive integer factors of 74210 that divides 74210 without a remainder.

1, 2, 5, 10, 41, 82, 181, 205, 362, 410, 905, 1810, 7421, 14842, 37105

Step-4: Factors of 74227

List of positive integer factors of 74227 that divides 74210 without a remainder.

1, 199, 373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74210 and 74227. The biggest common factor number is the GCF number.
So the greatest common factor 74210 and 74227 is 1.

Also check out the Least Common Multiple of 74210 and 74227