What is the Greatest Common Factor of 9628 and 9642?

Greatest common factor (GCF) of 9628 and 9642 is 2.

GCF(9628,9642) = 2

We will now calculate the prime factors of 9628 and 9642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9628 and 9642.

How to find the GCF of 9628 and 9642?

We will first find the prime factorization of 9628 and 9642. After we will calculate the factors of 9628 and 9642 and find the biggest common factor number .

Step-1: Prime Factorization of 9628

Prime factors of 9628 are 2, 29, 83. Prime factorization of 9628 in exponential form is:

9628 = 2² × 29¹ × 83¹

Step-2: Prime Factorization of 9642

Prime factors of 9642 are 2, 3, 1607. Prime factorization of 9642 in exponential form is:

9642 = 2¹ × 3¹ × 1607¹

Step-3: Factors of 9628

List of positive integer factors of 9628 that divides 9628 without a remainder.

1, 2, 4, 29, 58, 83, 116, 166, 332, 2407, 4814

Step-4: Factors of 9642

List of positive integer factors of 9642 that divides 9628 without a remainder.

1, 2, 3, 6, 1607, 3214, 4821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9628 and 9642. The biggest common factor number is the GCF number.
So the greatest common factor 9628 and 9642 is 2.

Also check out the Least Common Multiple of 9628 and 9642