What is the Greatest Common Factor of 10638 and 10658?

Greatest common factor (GCF) of 10638 and 10658 is 2.

GCF(10638,10658) = 2

We will now calculate the prime factors of 10638 and 10658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10638 and 10658.

How to find the GCF of 10638 and 10658?

We will first find the prime factorization of 10638 and 10658. After we will calculate the factors of 10638 and 10658 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 10658

Prime factors of 10658 are 2, 73. Prime factorization of 10658 in exponential form is:

10658 = 2¹ × 73²

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 10658

List of positive integer factors of 10658 that divides 10638 without a remainder.

1, 2, 73, 146, 5329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10638 and 10658. The biggest common factor number is the GCF number.
So the greatest common factor 10638 and 10658 is 2.

Also check out the Least Common Multiple of 10638 and 10658