What is the Greatest Common Factor of 83188 and 83202?

Greatest common factor (GCF) of 83188 and 83202 is 14.

GCF(83188,83202) = 14

We will now calculate the prime factors of 83188 and 83202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83188 and 83202.

How to find the GCF of 83188 and 83202?

We will first find the prime factorization of 83188 and 83202. After we will calculate the factors of 83188 and 83202 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 83202

Prime factors of 83202 are 2, 3, 7, 283. Prime factorization of 83202 in exponential form is:

83202 = 2¹ × 3¹ × 7² × 283¹

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 83202

List of positive integer factors of 83202 that divides 83188 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 283, 294, 566, 849, 1698, 1981, 3962, 5943, 11886, 13867, 27734, 41601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83188 and 83202. The biggest common factor number is the GCF number.
So the greatest common factor 83188 and 83202 is 14.

Also check out the Least Common Multiple of 83188 and 83202