What is the Greatest Common Factor of 15526 and 15533?

Greatest common factor (GCF) of 15526 and 15533 is 7.

GCF(15526,15533) = 7

We will now calculate the prime factors of 15526 and 15533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15526 and 15533.

How to find the GCF of 15526 and 15533?

We will first find the prime factorization of 15526 and 15533. After we will calculate the factors of 15526 and 15533 and find the biggest common factor number .

Step-1: Prime Factorization of 15526

Prime factors of 15526 are 2, 7, 1109. Prime factorization of 15526 in exponential form is:

15526 = 2¹ × 7¹ × 1109¹

Step-2: Prime Factorization of 15533

Prime factors of 15533 are 7, 317. Prime factorization of 15533 in exponential form is:

15533 = 7² × 317¹

Step-3: Factors of 15526

List of positive integer factors of 15526 that divides 15526 without a remainder.

1, 2, 7, 14, 1109, 2218, 7763

Step-4: Factors of 15533

List of positive integer factors of 15533 that divides 15526 without a remainder.

1, 7, 49, 317, 2219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15526 and 15533. The biggest common factor number is the GCF number.
So the greatest common factor 15526 and 15533 is 7.

Also check out the Least Common Multiple of 15526 and 15533