What is the Greatest Common Factor of 74222 and 74237?

Greatest common factor (GCF) of 74222 and 74237 is 1.

GCF(74222,74237) = 1

We will now calculate the prime factors of 74222 and 74237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74222 and 74237.

How to find the GCF of 74222 and 74237?

We will first find the prime factorization of 74222 and 74237. After we will calculate the factors of 74222 and 74237 and find the biggest common factor number .

Step-1: Prime Factorization of 74222

Prime factors of 74222 are 2, 17, 37, 59. Prime factorization of 74222 in exponential form is:

74222 = 2¹ × 17¹ × 37¹ × 59¹

Step-2: Prime Factorization of 74237

Prime factors of 74237 are 61, 1217. Prime factorization of 74237 in exponential form is:

74237 = 61¹ × 1217¹

Step-3: Factors of 74222

List of positive integer factors of 74222 that divides 74222 without a remainder.

1, 2, 17, 34, 37, 59, 74, 118, 629, 1003, 1258, 2006, 2183, 4366, 37111

Step-4: Factors of 74237

List of positive integer factors of 74237 that divides 74222 without a remainder.

1, 61, 1217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74222 and 74237. The biggest common factor number is the GCF number.
So the greatest common factor 74222 and 74237 is 1.

Also check out the Least Common Multiple of 74222 and 74237