What is the Greatest Common Factor of 83624 and 83642?

Greatest common factor (GCF) of 83624 and 83642 is 2.

GCF(83624,83642) = 2

We will now calculate the prime factors of 83624 and 83642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83624 and 83642.

How to find the GCF of 83624 and 83642?

We will first find the prime factorization of 83624 and 83642. After we will calculate the factors of 83624 and 83642 and find the biggest common factor number .

Step-1: Prime Factorization of 83624

Prime factors of 83624 are 2, 10453. Prime factorization of 83624 in exponential form is:

83624 = 2³ × 10453¹

Step-2: Prime Factorization of 83642

Prime factors of 83642 are 2, 13, 3217. Prime factorization of 83642 in exponential form is:

83642 = 2¹ × 13¹ × 3217¹

Step-3: Factors of 83624

List of positive integer factors of 83624 that divides 83624 without a remainder.

1, 2, 4, 8, 10453, 20906, 41812

Step-4: Factors of 83642

List of positive integer factors of 83642 that divides 83624 without a remainder.

1, 2, 13, 26, 3217, 6434, 41821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83624 and 83642. The biggest common factor number is the GCF number.
So the greatest common factor 83624 and 83642 is 2.

Also check out the Least Common Multiple of 83624 and 83642