What is the Greatest Common Factor of 1514 and 1526?

Greatest common factor (GCF) of 1514 and 1526 is 2.

GCF(1514,1526) = 2

We will now calculate the prime factors of 1514 and 1526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1514 and 1526.

How to find the GCF of 1514 and 1526?

We will first find the prime factorization of 1514 and 1526. After we will calculate the factors of 1514 and 1526 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 1526

Prime factors of 1526 are 2, 7, 109. Prime factorization of 1526 in exponential form is:

1526 = 2¹ × 7¹ × 109¹

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 1526

List of positive integer factors of 1526 that divides 1514 without a remainder.

1, 2, 7, 14, 109, 218, 763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1514 and 1526. The biggest common factor number is the GCF number.
So the greatest common factor 1514 and 1526 is 2.

Also check out the Least Common Multiple of 1514 and 1526