What is the Greatest Common Factor of 15526 and 15532?

Greatest common factor (GCF) of 15526 and 15532 is 2.

GCF(15526,15532) = 2

We will now calculate the prime factors of 15526 and 15532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15526 and 15532.

How to find the GCF of 15526 and 15532?

We will first find the prime factorization of 15526 and 15532. After we will calculate the factors of 15526 and 15532 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 15532

Prime factors of 15532 are 2, 11, 353. Prime factorization of 15532 in exponential form is:

15532 = 2² × 11¹ × 353¹

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 15532

List of positive integer factors of 15532 that divides 15526 without a remainder.

1, 2, 4, 11, 22, 44, 353, 706, 1412, 3883, 7766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15526 and 15532. The biggest common factor number is the GCF number.
So the greatest common factor 15526 and 15532 is 2.

Also check out the Least Common Multiple of 15526 and 15532