What is the Greatest Common Factor of 74227 and 74235?

Greatest common factor (GCF) of 74227 and 74235 is 1.

GCF(74227,74235) = 1

We will now calculate the prime factors of 74227 and 74235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74227 and 74235.

How to find the GCF of 74227 and 74235?

We will first find the prime factorization of 74227 and 74235. After we will calculate the factors of 74227 and 74235 and find the biggest common factor number .

Step-1: Prime Factorization of 74227

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

74227 = 199¹ × 373¹

Step-2: Prime Factorization of 74235

Prime factors of 74235 are 3, 5, 7, 101. Prime factorization of 74235 in exponential form is:

74235 = 3¹ × 5¹ × 7² × 101¹

Step-3: Factors of 74227

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

1, 199, 373

Step-4: Factors of 74235

List of positive integer factors of 74235 that divides 74227 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 101, 105, 147, 245, 303, 505, 707, 735, 1515, 2121, 3535, 4949, 10605, 14847, 24745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74227 and 74235. The biggest common factor number is the GCF number.
So the greatest common factor 74227 and 74235 is 1.

Also check out the Least Common Multiple of 74227 and 74235