What is the Greatest Common Factor of 83614 and 83624?

Greatest common factor (GCF) of 83614 and 83624 is 2.

GCF(83614,83624) = 2

We will now calculate the prime factors of 83614 and 83624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83614 and 83624.

How to find the GCF of 83614 and 83624?

We will first find the prime factorization of 83614 and 83624. After we will calculate the factors of 83614 and 83624 and find the biggest common factor number .

Step-1: Prime Factorization of 83614

Prime factors of 83614 are 2, 97, 431. Prime factorization of 83614 in exponential form is:

83614 = 2¹ × 97¹ × 431¹

Step-2: Prime Factorization of 83624

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

83624 = 2³ × 10453¹

Step-3: Factors of 83614

List of positive integer factors of 83614 that divides 83614 without a remainder.

1, 2, 97, 194, 431, 862, 41807

Step-4: Factors of 83624

List of positive integer factors of 83624 that divides 83614 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83614 and 83624. The biggest common factor number is the GCF number.
So the greatest common factor 83614 and 83624 is 2.

Also check out the Least Common Multiple of 83614 and 83624