What is the Greatest Common Factor of 1514 and 1525?

Greatest common factor (GCF) of 1514 and 1525 is 1.

GCF(1514,1525) = 1

We will now calculate the prime factors of 1514 and 1525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1514 and 1525.

How to find the GCF of 1514 and 1525?

We will first find the prime factorization of 1514 and 1525. After we will calculate the factors of 1514 and 1525 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 1525

Prime factors of 1525 are 5, 61. Prime factorization of 1525 in exponential form is:

1525 = 5² × 61¹

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 1525

List of positive integer factors of 1525 that divides 1514 without a remainder.

1, 5, 25, 61, 305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1514 and 1525. The biggest common factor number is the GCF number.
So the greatest common factor 1514 and 1525 is 1.

Also check out the Least Common Multiple of 1514 and 1525