What is the Greatest Common Factor of 15512 and 15526?

Greatest common factor (GCF) of 15512 and 15526 is 14.

GCF(15512,15526) = 14

We will now calculate the prime factors of 15512 and 15526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15512 and 15526.

How to find the GCF of 15512 and 15526?

We will first find the prime factorization of 15512 and 15526. After we will calculate the factors of 15512 and 15526 and find the biggest common factor number .

Step-1: Prime Factorization of 15512

Prime factors of 15512 are 2, 7, 277. Prime factorization of 15512 in exponential form is:

15512 = 2³ × 7¹ × 277¹

Step-2: 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-3: Factors of 15512

List of positive integer factors of 15512 that divides 15512 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 277, 554, 1108, 1939, 2216, 3878, 7756

Step-4: Factors of 15526

List of positive integer factors of 15526 that divides 15512 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15512 and 15526. The biggest common factor number is the GCF number.
So the greatest common factor 15512 and 15526 is 14.

Also check out the Least Common Multiple of 15512 and 15526