What is the Greatest Common Factor of 4514 and 4522?

Greatest common factor (GCF) of 4514 and 4522 is 2.

GCF(4514,4522) = 2

We will now calculate the prime factors of 4514 and 4522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4514 and 4522.

How to find the GCF of 4514 and 4522?

We will first find the prime factorization of 4514 and 4522. After we will calculate the factors of 4514 and 4522 and find the biggest common factor number .

Step-1: Prime Factorization of 4514

Prime factors of 4514 are 2, 37, 61. Prime factorization of 4514 in exponential form is:

4514 = 2¹ × 37¹ × 61¹

Step-2: Prime Factorization of 4522

Prime factors of 4522 are 2, 7, 17, 19. Prime factorization of 4522 in exponential form is:

4522 = 2¹ × 7¹ × 17¹ × 19¹

Step-3: Factors of 4514

List of positive integer factors of 4514 that divides 4514 without a remainder.

1, 2, 37, 61, 74, 122, 2257

Step-4: Factors of 4522

List of positive integer factors of 4522 that divides 4514 without a remainder.

1, 2, 7, 14, 17, 19, 34, 38, 119, 133, 238, 266, 323, 646, 2261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4514 and 4522. The biggest common factor number is the GCF number.
So the greatest common factor 4514 and 4522 is 2.

Also check out the Least Common Multiple of 4514 and 4522