What is the Greatest Common Factor of 7514 and 7534?

Greatest common factor (GCF) of 7514 and 7534 is 2.

GCF(7514,7534) = 2

We will now calculate the prime factors of 7514 and 7534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7514 and 7534.

How to find the GCF of 7514 and 7534?

We will first find the prime factorization of 7514 and 7534. After we will calculate the factors of 7514 and 7534 and find the biggest common factor number .

Step-1: Prime Factorization of 7514

Prime factors of 7514 are 2, 13, 17. Prime factorization of 7514 in exponential form is:

7514 = 2¹ × 13¹ × 17²

Step-2: Prime Factorization of 7534

Prime factors of 7534 are 2, 3767. Prime factorization of 7534 in exponential form is:

7534 = 2¹ × 3767¹

Step-3: Factors of 7514

List of positive integer factors of 7514 that divides 7514 without a remainder.

1, 2, 13, 17, 26, 34, 221, 289, 442, 578, 3757

Step-4: Factors of 7534

List of positive integer factors of 7534 that divides 7514 without a remainder.

1, 2, 3767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7514 and 7534. The biggest common factor number is the GCF number.
So the greatest common factor 7514 and 7534 is 2.

Also check out the Least Common Multiple of 7514 and 7534