What is the Greatest Common Factor of 65148 and 65166?

Greatest common factor (GCF) of 65148 and 65166 is 6.

GCF(65148,65166) = 6

We will now calculate the prime factors of 65148 and 65166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65148 and 65166.

How to find the GCF of 65148 and 65166?

We will first find the prime factorization of 65148 and 65166. After we will calculate the factors of 65148 and 65166 and find the biggest common factor number .

Step-1: Prime Factorization of 65148

Prime factors of 65148 are 2, 3, 61, 89. Prime factorization of 65148 in exponential form is:

65148 = 2² × 3¹ × 61¹ × 89¹

Step-2: 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-3: Factors of 65148

List of positive integer factors of 65148 that divides 65148 without a remainder.

1, 2, 3, 4, 6, 12, 61, 89, 122, 178, 183, 244, 267, 356, 366, 534, 732, 1068, 5429, 10858, 16287, 21716, 32574

Step-4: Factors of 65166

List of positive integer factors of 65166 that divides 65148 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65148 and 65166. The biggest common factor number is the GCF number.
So the greatest common factor 65148 and 65166 is 6.

Also check out the Least Common Multiple of 65148 and 65166