What is the Greatest Common Factor of 77145 and 77154?

Greatest common factor (GCF) of 77145 and 77154 is 3.

GCF(77145,77154) = 3

We will now calculate the prime factors of 77145 and 77154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77145 and 77154.

How to find the GCF of 77145 and 77154?

We will first find the prime factorization of 77145 and 77154. After we will calculate the factors of 77145 and 77154 and find the biggest common factor number .

Step-1: Prime Factorization of 77145

Prime factors of 77145 are 3, 5, 37, 139. Prime factorization of 77145 in exponential form is:

77145 = 3¹ × 5¹ × 37¹ × 139¹

Step-2: Prime Factorization of 77154

Prime factors of 77154 are 2, 3, 7, 11, 167. Prime factorization of 77154 in exponential form is:

77154 = 2¹ × 3¹ × 7¹ × 11¹ × 167¹

Step-3: Factors of 77145

List of positive integer factors of 77145 that divides 77145 without a remainder.

1, 3, 5, 15, 37, 111, 139, 185, 417, 555, 695, 2085, 5143, 15429, 25715

Step-4: Factors of 77154

List of positive integer factors of 77154 that divides 77145 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 167, 231, 334, 462, 501, 1002, 1169, 1837, 2338, 3507, 3674, 5511, 7014, 11022, 12859, 25718, 38577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77145 and 77154. The biggest common factor number is the GCF number.
So the greatest common factor 77145 and 77154 is 3.

Also check out the Least Common Multiple of 77145 and 77154