What is the Greatest Common Factor of 76626 and 76637?

Greatest common factor (GCF) of 76626 and 76637 is 11.

GCF(76626,76637) = 11

We will now calculate the prime factors of 76626 and 76637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76626 and 76637.

How to find the GCF of 76626 and 76637?

We will first find the prime factorization of 76626 and 76637. After we will calculate the factors of 76626 and 76637 and find the biggest common factor number .

Step-1: Prime Factorization of 76626

Prime factors of 76626 are 2, 3, 11, 43. Prime factorization of 76626 in exponential form is:

76626 = 2¹ × 3⁴ × 11¹ × 43¹

Step-2: Prime Factorization of 76637

Prime factors of 76637 are 11, 6967. Prime factorization of 76637 in exponential form is:

76637 = 11¹ × 6967¹

Step-3: Factors of 76626

List of positive integer factors of 76626 that divides 76626 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 43, 54, 66, 81, 86, 99, 129, 162, 198, 258, 297, 387, 473, 594, 774, 891, 946, 1161, 1419, 1782, 2322, 2838, 3483, 4257, 6966, 8514, 12771, 25542, 38313

Step-4: Factors of 76637

List of positive integer factors of 76637 that divides 76626 without a remainder.

1, 11, 6967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76626 and 76637. The biggest common factor number is the GCF number.
So the greatest common factor 76626 and 76637 is 11.

Also check out the Least Common Multiple of 76626 and 76637