What is the Greatest Common Factor of 75162 and 75166?

Greatest common factor (GCF) of 75162 and 75166 is 2.

GCF(75162,75166) = 2

We will now calculate the prime factors of 75162 and 75166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75162 and 75166.

How to find the GCF of 75162 and 75166?

We will first find the prime factorization of 75162 and 75166. After we will calculate the factors of 75162 and 75166 and find the biggest common factor number .

Step-1: Prime Factorization of 75162

Prime factors of 75162 are 2, 3, 12527. Prime factorization of 75162 in exponential form is:

75162 = 2¹ × 3¹ × 12527¹

Step-2: Prime Factorization of 75166

Prime factors of 75166 are 2, 7, 13, 59. Prime factorization of 75166 in exponential form is:

75166 = 2¹ × 7² × 13¹ × 59¹

Step-3: Factors of 75162

List of positive integer factors of 75162 that divides 75162 without a remainder.

1, 2, 3, 6, 12527, 25054, 37581

Step-4: Factors of 75166

List of positive integer factors of 75166 that divides 75162 without a remainder.

1, 2, 7, 13, 14, 26, 49, 59, 91, 98, 118, 182, 413, 637, 767, 826, 1274, 1534, 2891, 5369, 5782, 10738, 37583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75162 and 75166. The biggest common factor number is the GCF number.
So the greatest common factor 75162 and 75166 is 2.

Also check out the Least Common Multiple of 75162 and 75166