What is the Greatest Common Factor of 75268 and 75274?

Greatest common factor (GCF) of 75268 and 75274 is 2.

GCF(75268,75274) = 2

We will now calculate the prime factors of 75268 and 75274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75268 and 75274.

How to find the GCF of 75268 and 75274?

We will first find the prime factorization of 75268 and 75274. After we will calculate the factors of 75268 and 75274 and find the biggest common factor number .

Step-1: Prime Factorization of 75268

Prime factors of 75268 are 2, 31, 607. Prime factorization of 75268 in exponential form is:

75268 = 2² × 31¹ × 607¹

Step-2: Prime Factorization of 75274

Prime factors of 75274 are 2, 61, 617. Prime factorization of 75274 in exponential form is:

75274 = 2¹ × 61¹ × 617¹

Step-3: Factors of 75268

List of positive integer factors of 75268 that divides 75268 without a remainder.

1, 2, 4, 31, 62, 124, 607, 1214, 2428, 18817, 37634

Step-4: Factors of 75274

List of positive integer factors of 75274 that divides 75268 without a remainder.

1, 2, 61, 122, 617, 1234, 37637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75268 and 75274. The biggest common factor number is the GCF number.
So the greatest common factor 75268 and 75274 is 2.

Also check out the Least Common Multiple of 75268 and 75274