What is the Greatest Common Factor of 1514 and 1528?

Greatest common factor (GCF) of 1514 and 1528 is 2.

GCF(1514,1528) = 2

We will now calculate the prime factors of 1514 and 1528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1514 and 1528.

How to find the GCF of 1514 and 1528?

We will first find the prime factorization of 1514 and 1528. After we will calculate the factors of 1514 and 1528 and find the biggest common factor number .

Step-1: Prime Factorization of 1514

Prime factors of 1514 are 2, 757. Prime factorization of 1514 in exponential form is:

1514 = 2¹ × 757¹

Step-2: Prime Factorization of 1528

Prime factors of 1528 are 2, 191. Prime factorization of 1528 in exponential form is:

1528 = 2³ × 191¹

Step-3: Factors of 1514

List of positive integer factors of 1514 that divides 1514 without a remainder.

1, 2, 757

Step-4: Factors of 1528

List of positive integer factors of 1528 that divides 1514 without a remainder.

1, 2, 4, 8, 191, 382, 764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1514 and 1528. The biggest common factor number is the GCF number.
So the greatest common factor 1514 and 1528 is 2.

Also check out the Least Common Multiple of 1514 and 1528