What is the Greatest Common Factor of 77080 and 77095?

Greatest common factor (GCF) of 77080 and 77095 is 5.

GCF(77080,77095) = 5

We will now calculate the prime factors of 77080 and 77095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77080 and 77095.

How to find the GCF of 77080 and 77095?

We will first find the prime factorization of 77080 and 77095. After we will calculate the factors of 77080 and 77095 and find the biggest common factor number .

Step-1: Prime Factorization of 77080

Prime factors of 77080 are 2, 5, 41, 47. Prime factorization of 77080 in exponential form is:

77080 = 2³ × 5¹ × 41¹ × 47¹

Step-2: Prime Factorization of 77095

Prime factors of 77095 are 5, 17, 907. Prime factorization of 77095 in exponential form is:

77095 = 5¹ × 17¹ × 907¹

Step-3: Factors of 77080

List of positive integer factors of 77080 that divides 77080 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 41, 47, 82, 94, 164, 188, 205, 235, 328, 376, 410, 470, 820, 940, 1640, 1880, 1927, 3854, 7708, 9635, 15416, 19270, 38540

Step-4: Factors of 77095

List of positive integer factors of 77095 that divides 77080 without a remainder.

1, 5, 17, 85, 907, 4535, 15419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77080 and 77095. The biggest common factor number is the GCF number.
So the greatest common factor 77080 and 77095 is 5.

Also check out the Least Common Multiple of 77080 and 77095