What is the Greatest Common Factor of 10626 and 10637?

Greatest common factor (GCF) of 10626 and 10637 is 11.

GCF(10626,10637) = 11

We will now calculate the prime factors of 10626 and 10637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10626 and 10637.

How to find the GCF of 10626 and 10637?

We will first find the prime factorization of 10626 and 10637. After we will calculate the factors of 10626 and 10637 and find the biggest common factor number .

Step-1: Prime Factorization of 10626

Prime factors of 10626 are 2, 3, 7, 11, 23. Prime factorization of 10626 in exponential form is:

10626 = 2¹ × 3¹ × 7¹ × 11¹ × 23¹

Step-2: Prime Factorization of 10637

Prime factors of 10637 are 11, 967. Prime factorization of 10637 in exponential form is:

10637 = 11¹ × 967¹

Step-3: Factors of 10626

List of positive integer factors of 10626 that divides 10626 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 23, 33, 42, 46, 66, 69, 77, 138, 154, 161, 231, 253, 322, 462, 483, 506, 759, 966, 1518, 1771, 3542, 5313

Step-4: Factors of 10637

List of positive integer factors of 10637 that divides 10626 without a remainder.

1, 11, 967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10626 and 10637. The biggest common factor number is the GCF number.
So the greatest common factor 10626 and 10637 is 11.

Also check out the Least Common Multiple of 10626 and 10637