What is the Greatest Common Factor of 83167 and 83174?

Greatest common factor (GCF) of 83167 and 83174 is 7.

GCF(83167,83174) = 7

We will now calculate the prime factors of 83167 and 83174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83167 and 83174.

How to find the GCF of 83167 and 83174?

We will first find the prime factorization of 83167 and 83174. After we will calculate the factors of 83167 and 83174 and find the biggest common factor number .

Step-1: Prime Factorization of 83167

Prime factors of 83167 are 7, 109. Prime factorization of 83167 in exponential form is:

83167 = 7¹ × 109²

Step-2: Prime Factorization of 83174

Prime factors of 83174 are 2, 7, 13, 457. Prime factorization of 83174 in exponential form is:

83174 = 2¹ × 7¹ × 13¹ × 457¹

Step-3: Factors of 83167

List of positive integer factors of 83167 that divides 83167 without a remainder.

1, 7, 109, 763, 11881

Step-4: Factors of 83174

List of positive integer factors of 83174 that divides 83167 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 457, 914, 3199, 5941, 6398, 11882, 41587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83167 and 83174. The biggest common factor number is the GCF number.
So the greatest common factor 83167 and 83174 is 7.

Also check out the Least Common Multiple of 83167 and 83174