What is the Greatest Common Factor of 12629 and 12648?

Greatest common factor (GCF) of 12629 and 12648 is 1.

GCF(12629,12648) = 1

We will now calculate the prime factors of 12629 and 12648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12629 and 12648.

How to find the GCF of 12629 and 12648?

We will first find the prime factorization of 12629 and 12648. After we will calculate the factors of 12629 and 12648 and find the biggest common factor number .

Step-1: Prime Factorization of 12629

Prime factors of 12629 are 73, 173. Prime factorization of 12629 in exponential form is:

12629 = 73¹ × 173¹

Step-2: Prime Factorization of 12648

Prime factors of 12648 are 2, 3, 17, 31. Prime factorization of 12648 in exponential form is:

12648 = 2³ × 3¹ × 17¹ × 31¹

Step-3: Factors of 12629

List of positive integer factors of 12629 that divides 12629 without a remainder.

1, 73, 173

Step-4: Factors of 12648

List of positive integer factors of 12648 that divides 12629 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 31, 34, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 372, 408, 527, 744, 1054, 1581, 2108, 3162, 4216, 6324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12629 and 12648. The biggest common factor number is the GCF number.
So the greatest common factor 12629 and 12648 is 1.

Also check out the Least Common Multiple of 12629 and 12648