What is the Greatest Common Factor of 62166 and 62175?

Greatest common factor (GCF) of 62166 and 62175 is 3.

GCF(62166,62175) = 3

We will now calculate the prime factors of 62166 and 62175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62166 and 62175.

How to find the GCF of 62166 and 62175?

We will first find the prime factorization of 62166 and 62175. After we will calculate the factors of 62166 and 62175 and find the biggest common factor number .

Step-1: Prime Factorization of 62166

Prime factors of 62166 are 2, 3, 13, 797. Prime factorization of 62166 in exponential form is:

62166 = 2¹ × 3¹ × 13¹ × 797¹

Step-2: Prime Factorization of 62175

Prime factors of 62175 are 3, 5, 829. Prime factorization of 62175 in exponential form is:

62175 = 3¹ × 5² × 829¹

Step-3: Factors of 62166

List of positive integer factors of 62166 that divides 62166 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 797, 1594, 2391, 4782, 10361, 20722, 31083

Step-4: Factors of 62175

List of positive integer factors of 62175 that divides 62166 without a remainder.

1, 3, 5, 15, 25, 75, 829, 2487, 4145, 12435, 20725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62166 and 62175. The biggest common factor number is the GCF number.
So the greatest common factor 62166 and 62175 is 3.

Also check out the Least Common Multiple of 62166 and 62175