What is the Greatest Common Factor of 83658 and 83672?

Greatest common factor (GCF) of 83658 and 83672 is 2.

GCF(83658,83672) = 2

We will now calculate the prime factors of 83658 and 83672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83658 and 83672.

How to find the GCF of 83658 and 83672?

We will first find the prime factorization of 83658 and 83672. After we will calculate the factors of 83658 and 83672 and find the biggest common factor number .

Step-1: Prime Factorization of 83658

Prime factors of 83658 are 2, 3, 73, 191. Prime factorization of 83658 in exponential form is:

83658 = 2¹ × 3¹ × 73¹ × 191¹

Step-2: Prime Factorization of 83672

Prime factors of 83672 are 2, 10459. Prime factorization of 83672 in exponential form is:

83672 = 2³ × 10459¹

Step-3: Factors of 83658

List of positive integer factors of 83658 that divides 83658 without a remainder.

1, 2, 3, 6, 73, 146, 191, 219, 382, 438, 573, 1146, 13943, 27886, 41829

Step-4: Factors of 83672

List of positive integer factors of 83672 that divides 83658 without a remainder.

1, 2, 4, 8, 10459, 20918, 41836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83658 and 83672. The biggest common factor number is the GCF number.
So the greatest common factor 83658 and 83672 is 2.

Also check out the Least Common Multiple of 83658 and 83672