What is the Greatest Common Factor of 83164 and 83172?

Greatest common factor (GCF) of 83164 and 83172 is 4.

GCF(83164,83172) = 4

We will now calculate the prime factors of 83164 and 83172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83164 and 83172.

How to find the GCF of 83164 and 83172?

We will first find the prime factorization of 83164 and 83172. After we will calculate the factors of 83164 and 83172 and find the biggest common factor number .

Step-1: Prime Factorization of 83164

Prime factors of 83164 are 2, 17, 1223. Prime factorization of 83164 in exponential form is:

83164 = 2² × 17¹ × 1223¹

Step-2: Prime Factorization of 83172

Prime factors of 83172 are 2, 3, 29, 239. Prime factorization of 83172 in exponential form is:

83172 = 2² × 3¹ × 29¹ × 239¹

Step-3: Factors of 83164

List of positive integer factors of 83164 that divides 83164 without a remainder.

1, 2, 4, 17, 34, 68, 1223, 2446, 4892, 20791, 41582

Step-4: Factors of 83172

List of positive integer factors of 83172 that divides 83164 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 239, 348, 478, 717, 956, 1434, 2868, 6931, 13862, 20793, 27724, 41586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83164 and 83172. The biggest common factor number is the GCF number.
So the greatest common factor 83164 and 83172 is 4.

Also check out the Least Common Multiple of 83164 and 83172