What is the Greatest Common Factor of 10638 and 10648?

Greatest common factor (GCF) of 10638 and 10648 is 2.

GCF(10638,10648) = 2

We will now calculate the prime factors of 10638 and 10648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10638 and 10648.

How to find the GCF of 10638 and 10648?

We will first find the prime factorization of 10638 and 10648. After we will calculate the factors of 10638 and 10648 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 10648

Prime factors of 10648 are 2, 11. Prime factorization of 10648 in exponential form is:

10648 = 2³ × 11³

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 10648

List of positive integer factors of 10648 that divides 10638 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968, 1331, 2662, 5324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10638 and 10648. The biggest common factor number is the GCF number.
So the greatest common factor 10638 and 10648 is 2.

Also check out the Least Common Multiple of 10638 and 10648