What is the Greatest Common Factor of 1514 and 1529?

Greatest common factor (GCF) of 1514 and 1529 is 1.

GCF(1514,1529) = 1

We will now calculate the prime factors of 1514 and 1529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1514 and 1529.

How to find the GCF of 1514 and 1529?

We will first find the prime factorization of 1514 and 1529. After we will calculate the factors of 1514 and 1529 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 1529

Prime factors of 1529 are 11, 139. Prime factorization of 1529 in exponential form is:

1529 = 11¹ × 139¹

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 1529

List of positive integer factors of 1529 that divides 1514 without a remainder.

1, 11, 139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1514 and 1529. The biggest common factor number is the GCF number.
So the greatest common factor 1514 and 1529 is 1.

Also check out the Least Common Multiple of 1514 and 1529