What is the Greatest Common Factor of 4522 and 4536?

Greatest common factor (GCF) of 4522 and 4536 is 14.

GCF(4522,4536) = 14

We will now calculate the prime factors of 4522 and 4536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4522 and 4536.

How to find the GCF of 4522 and 4536?

We will first find the prime factorization of 4522 and 4536. After we will calculate the factors of 4522 and 4536 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4536

Prime factors of 4536 are 2, 3, 7. Prime factorization of 4536 in exponential form is:

4536 = 2³ × 3⁴ × 7¹

Step-3: Factors of 4522

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

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

Step-4: Factors of 4536

List of positive integer factors of 4536 that divides 4522 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 252, 324, 378, 504, 567, 648, 756, 1134, 1512, 2268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4522 and 4536. The biggest common factor number is the GCF number.
So the greatest common factor 4522 and 4536 is 14.

Also check out the Least Common Multiple of 4522 and 4536