What is the Greatest Common Factor of 4275 and 4294?

Greatest common factor (GCF) of 4275 and 4294 is 19.

GCF(4275,4294) = 19

We will now calculate the prime factors of 4275 and 4294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4275 and 4294.

How to find the GCF of 4275 and 4294?

We will first find the prime factorization of 4275 and 4294. After we will calculate the factors of 4275 and 4294 and find the biggest common factor number .

Step-1: Prime Factorization of 4275

Prime factors of 4275 are 3, 5, 19. Prime factorization of 4275 in exponential form is:

4275 = 3² × 5² × 19¹

Step-2: Prime Factorization of 4294

Prime factors of 4294 are 2, 19, 113. Prime factorization of 4294 in exponential form is:

4294 = 2¹ × 19¹ × 113¹

Step-3: Factors of 4275

List of positive integer factors of 4275 that divides 4275 without a remainder.

1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425

Step-4: Factors of 4294

List of positive integer factors of 4294 that divides 4275 without a remainder.

1, 2, 19, 38, 113, 226, 2147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4275 and 4294. The biggest common factor number is the GCF number.
So the greatest common factor 4275 and 4294 is 19.

Also check out the Least Common Multiple of 4275 and 4294