What is the Greatest Common Factor of 77163 and 77180?

Greatest common factor (GCF) of 77163 and 77180 is 17.

GCF(77163,77180) = 17

We will now calculate the prime factors of 77163 and 77180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77163 and 77180.

How to find the GCF of 77163 and 77180?

We will first find the prime factorization of 77163 and 77180. After we will calculate the factors of 77163 and 77180 and find the biggest common factor number .

Step-1: Prime Factorization of 77163

Prime factors of 77163 are 3, 17, 89. Prime factorization of 77163 in exponential form is:

77163 = 3¹ × 17² × 89¹

Step-2: Prime Factorization of 77180

Prime factors of 77180 are 2, 5, 17, 227. Prime factorization of 77180 in exponential form is:

77180 = 2² × 5¹ × 17¹ × 227¹

Step-3: Factors of 77163

List of positive integer factors of 77163 that divides 77163 without a remainder.

1, 3, 17, 51, 89, 267, 289, 867, 1513, 4539, 25721

Step-4: Factors of 77180

List of positive integer factors of 77180 that divides 77163 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 227, 340, 454, 908, 1135, 2270, 3859, 4540, 7718, 15436, 19295, 38590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77163 and 77180. The biggest common factor number is the GCF number.
So the greatest common factor 77163 and 77180 is 17.

Also check out the Least Common Multiple of 77163 and 77180