What is the Greatest Common Factor of 7498 and 7513?

Greatest common factor (GCF) of 7498 and 7513 is 1.

GCF(7498,7513) = 1

We will now calculate the prime factors of 7498 and 7513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7498 and 7513.

How to find the GCF of 7498 and 7513?

We will first find the prime factorization of 7498 and 7513. After we will calculate the factors of 7498 and 7513 and find the biggest common factor number .

Step-1: Prime Factorization of 7498

Prime factors of 7498 are 2, 23, 163. Prime factorization of 7498 in exponential form is:

7498 = 2¹ × 23¹ × 163¹

Step-2: Prime Factorization of 7513

Prime factors of 7513 are 11, 683. Prime factorization of 7513 in exponential form is:

7513 = 11¹ × 683¹

Step-3: Factors of 7498

List of positive integer factors of 7498 that divides 7498 without a remainder.

1, 2, 23, 46, 163, 326, 3749

Step-4: Factors of 7513

List of positive integer factors of 7513 that divides 7498 without a remainder.

1, 11, 683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7498 and 7513. The biggest common factor number is the GCF number.
So the greatest common factor 7498 and 7513 is 1.

Also check out the Least Common Multiple of 7498 and 7513