What is the Greatest Common Factor of 74254 and 74258?

Greatest common factor (GCF) of 74254 and 74258 is 2.

GCF(74254,74258) = 2

We will now calculate the prime factors of 74254 and 74258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74254 and 74258.

How to find the GCF of 74254 and 74258?

We will first find the prime factorization of 74254 and 74258. After we will calculate the factors of 74254 and 74258 and find the biggest common factor number .

Step-1: Prime Factorization of 74254

Prime factors of 74254 are 2, 137, 271. Prime factorization of 74254 in exponential form is:

74254 = 2¹ × 137¹ × 271¹

Step-2: Prime Factorization of 74258

Prime factors of 74258 are 2, 107, 347. Prime factorization of 74258 in exponential form is:

74258 = 2¹ × 107¹ × 347¹

Step-3: Factors of 74254

List of positive integer factors of 74254 that divides 74254 without a remainder.

1, 2, 137, 271, 274, 542, 37127

Step-4: Factors of 74258

List of positive integer factors of 74258 that divides 74254 without a remainder.

1, 2, 107, 214, 347, 694, 37129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74254 and 74258. The biggest common factor number is the GCF number.
So the greatest common factor 74254 and 74258 is 2.

Also check out the Least Common Multiple of 74254 and 74258