What is the Greatest Common Factor of 83188 and 83198?

Greatest common factor (GCF) of 83188 and 83198 is 2.

GCF(83188,83198) = 2

We will now calculate the prime factors of 83188 and 83198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83188 and 83198.

How to find the GCF of 83188 and 83198?

We will first find the prime factorization of 83188 and 83198. After we will calculate the factors of 83188 and 83198 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83198

Prime factors of 83198 are 2, 17, 2447. Prime factorization of 83198 in exponential form is:

83198 = 2¹ × 17¹ × 2447¹

Step-3: Factors of 83188

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

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

Step-4: Factors of 83198

List of positive integer factors of 83198 that divides 83188 without a remainder.

1, 2, 17, 34, 2447, 4894, 41599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83188 and 83198. The biggest common factor number is the GCF number.
So the greatest common factor 83188 and 83198 is 2.

Also check out the Least Common Multiple of 83188 and 83198