What is the Greatest Common Factor of 4514 and 4521?

Greatest common factor (GCF) of 4514 and 4521 is 1.

GCF(4514,4521) = 1

We will now calculate the prime factors of 4514 and 4521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4514 and 4521.

How to find the GCF of 4514 and 4521?

We will first find the prime factorization of 4514 and 4521. After we will calculate the factors of 4514 and 4521 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 4521

Prime factors of 4521 are 3, 11, 137. Prime factorization of 4521 in exponential form is:

4521 = 3¹ × 11¹ × 137¹

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 4521

List of positive integer factors of 4521 that divides 4514 without a remainder.

1, 3, 11, 33, 137, 411, 1507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4514 and 4521. The biggest common factor number is the GCF number.
So the greatest common factor 4514 and 4521 is 1.

Also check out the Least Common Multiple of 4514 and 4521