What is the Greatest Common Factor of 77151 and 77166?

Greatest common factor (GCF) of 77151 and 77166 is 3.

GCF(77151,77166) = 3

We will now calculate the prime factors of 77151 and 77166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77151 and 77166.

How to find the GCF of 77151 and 77166?

We will first find the prime factorization of 77151 and 77166. After we will calculate the factors of 77151 and 77166 and find the biggest common factor number .

Step-1: Prime Factorization of 77151

Prime factors of 77151 are 3, 25717. Prime factorization of 77151 in exponential form is:

77151 = 3¹ × 25717¹

Step-2: Prime Factorization of 77166

Prime factors of 77166 are 2, 3, 1429. Prime factorization of 77166 in exponential form is:

77166 = 2¹ × 3³ × 1429¹

Step-3: Factors of 77151

List of positive integer factors of 77151 that divides 77151 without a remainder.

1, 3, 25717

Step-4: Factors of 77166

List of positive integer factors of 77166 that divides 77151 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1429, 2858, 4287, 8574, 12861, 25722, 38583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77151 and 77166. The biggest common factor number is the GCF number.
So the greatest common factor 77151 and 77166 is 3.

Also check out the Least Common Multiple of 77151 and 77166