What is the Greatest Common Factor of 83180 and 83188?

Greatest common factor (GCF) of 83180 and 83188 is 4.

GCF(83180,83188) = 4

We will now calculate the prime factors of 83180 and 83188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83180 and 83188.

How to find the GCF of 83180 and 83188?

We will first find the prime factorization of 83180 and 83188. After we will calculate the factors of 83180 and 83188 and find the biggest common factor number .

Step-1: Prime Factorization of 83180

Prime factors of 83180 are 2, 5, 4159. Prime factorization of 83180 in exponential form is:

83180 = 2² × 5¹ × 4159¹

Step-2: Prime Factorization of 83188

Prime factors of 83188 are 2, 7, 2971. Prime factorization of 83188 in exponential form is:

83188 = 2² × 7¹ × 2971¹

Step-3: Factors of 83180

List of positive integer factors of 83180 that divides 83180 without a remainder.

1, 2, 4, 5, 10, 20, 4159, 8318, 16636, 20795, 41590

Step-4: Factors of 83188

List of positive integer factors of 83188 that divides 83180 without a remainder.

1, 2, 4, 7, 14, 28, 2971, 5942, 11884, 20797, 41594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83180 and 83188. The biggest common factor number is the GCF number.
So the greatest common factor 83180 and 83188 is 4.

Also check out the Least Common Multiple of 83180 and 83188