What is the Greatest Common Factor of 75214 and 75226?

Greatest common factor (GCF) of 75214 and 75226 is 2.

GCF(75214,75226) = 2

We will now calculate the prime factors of 75214 and 75226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75214 and 75226.

How to find the GCF of 75214 and 75226?

We will first find the prime factorization of 75214 and 75226. After we will calculate the factors of 75214 and 75226 and find the biggest common factor number .

Step-1: Prime Factorization of 75214

Prime factors of 75214 are 2, 37607. Prime factorization of 75214 in exponential form is:

75214 = 2¹ × 37607¹

Step-2: Prime Factorization of 75226

Prime factors of 75226 are 2, 29, 1297. Prime factorization of 75226 in exponential form is:

75226 = 2¹ × 29¹ × 1297¹

Step-3: Factors of 75214

List of positive integer factors of 75214 that divides 75214 without a remainder.

1, 2, 37607

Step-4: Factors of 75226

List of positive integer factors of 75226 that divides 75214 without a remainder.

1, 2, 29, 58, 1297, 2594, 37613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75214 and 75226. The biggest common factor number is the GCF number.
So the greatest common factor 75214 and 75226 is 2.

Also check out the Least Common Multiple of 75214 and 75226