What is the Greatest Common Factor of 65166 and 65175?

Greatest common factor (GCF) of 65166 and 65175 is 3.

GCF(65166,65175) = 3

We will now calculate the prime factors of 65166 and 65175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65166 and 65175.

How to find the GCF of 65166 and 65175?

We will first find the prime factorization of 65166 and 65175. After we will calculate the factors of 65166 and 65175 and find the biggest common factor number .

Step-1: Prime Factorization of 65166

Prime factors of 65166 are 2, 3, 10861. Prime factorization of 65166 in exponential form is:

65166 = 2¹ × 3¹ × 10861¹

Step-2: Prime Factorization of 65175

Prime factors of 65175 are 3, 5, 11, 79. Prime factorization of 65175 in exponential form is:

65175 = 3¹ × 5² × 11¹ × 79¹

Step-3: Factors of 65166

List of positive integer factors of 65166 that divides 65166 without a remainder.

1, 2, 3, 6, 10861, 21722, 32583

Step-4: Factors of 65175

List of positive integer factors of 65175 that divides 65166 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 79, 165, 237, 275, 395, 825, 869, 1185, 1975, 2607, 4345, 5925, 13035, 21725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65166 and 65175. The biggest common factor number is the GCF number.
So the greatest common factor 65166 and 65175 is 3.

Also check out the Least Common Multiple of 65166 and 65175