What is the Greatest Common Factor of 4514 and 4528?

Greatest common factor (GCF) of 4514 and 4528 is 2.

GCF(4514,4528) = 2

We will now calculate the prime factors of 4514 and 4528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4514 and 4528.

How to find the GCF of 4514 and 4528?

We will first find the prime factorization of 4514 and 4528. After we will calculate the factors of 4514 and 4528 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 4528

Prime factors of 4528 are 2, 283. Prime factorization of 4528 in exponential form is:

4528 = 2⁴ × 283¹

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 4528

List of positive integer factors of 4528 that divides 4514 without a remainder.

1, 2, 4, 8, 16, 283, 566, 1132, 2264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4514 and 4528. The biggest common factor number is the GCF number.
So the greatest common factor 4514 and 4528 is 2.

Also check out the Least Common Multiple of 4514 and 4528