What is the Greatest Common Factor of 96604 and 96622?

Greatest common factor (GCF) of 96604 and 96622 is 2.

GCF(96604,96622) = 2

We will now calculate the prime factors of 96604 and 96622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96604 and 96622.

How to find the GCF of 96604 and 96622?

We will first find the prime factorization of 96604 and 96622. After we will calculate the factors of 96604 and 96622 and find the biggest common factor number .

Step-1: Prime Factorization of 96604

Prime factors of 96604 are 2, 24151. Prime factorization of 96604 in exponential form is:

96604 = 2² × 24151¹

Step-2: Prime Factorization of 96622

Prime factors of 96622 are 2, 48311. Prime factorization of 96622 in exponential form is:

96622 = 2¹ × 48311¹

Step-3: Factors of 96604

List of positive integer factors of 96604 that divides 96604 without a remainder.

1, 2, 4, 24151, 48302

Step-4: Factors of 96622

List of positive integer factors of 96622 that divides 96604 without a remainder.

1, 2, 48311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96604 and 96622. The biggest common factor number is the GCF number.
So the greatest common factor 96604 and 96622 is 2.

Also check out the Least Common Multiple of 96604 and 96622