What is the Greatest Common Factor of 10638 and 10646?

Greatest common factor (GCF) of 10638 and 10646 is 2.

GCF(10638,10646) = 2

We will now calculate the prime factors of 10638 and 10646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10638 and 10646.

How to find the GCF of 10638 and 10646?

We will first find the prime factorization of 10638 and 10646. After we will calculate the factors of 10638 and 10646 and find the biggest common factor number .

Step-1: Prime Factorization of 10638

Prime factors of 10638 are 2, 3, 197. Prime factorization of 10638 in exponential form is:

10638 = 2¹ × 3³ × 197¹

Step-2: Prime Factorization of 10646

Prime factors of 10646 are 2, 5323. Prime factorization of 10646 in exponential form is:

10646 = 2¹ × 5323¹

Step-3: Factors of 10638

List of positive integer factors of 10638 that divides 10638 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 197, 394, 591, 1182, 1773, 3546, 5319

Step-4: Factors of 10646

List of positive integer factors of 10646 that divides 10638 without a remainder.

1, 2, 5323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10638 and 10646. The biggest common factor number is the GCF number.
So the greatest common factor 10638 and 10646 is 2.

Also check out the Least Common Multiple of 10638 and 10646