What is the Greatest Common Factor of 77285 and 77295?

Greatest common factor (GCF) of 77285 and 77295 is 5.

GCF(77285,77295) = 5

We will now calculate the prime factors of 77285 and 77295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77285 and 77295.

How to find the GCF of 77285 and 77295?

We will first find the prime factorization of 77285 and 77295. After we will calculate the factors of 77285 and 77295 and find the biggest common factor number .

Step-1: Prime Factorization of 77285

Prime factors of 77285 are 5, 13, 29, 41. Prime factorization of 77285 in exponential form is:

77285 = 5¹ × 13¹ × 29¹ × 41¹

Step-2: Prime Factorization of 77295

Prime factors of 77295 are 3, 5, 5153. Prime factorization of 77295 in exponential form is:

77295 = 3¹ × 5¹ × 5153¹

Step-3: Factors of 77285

List of positive integer factors of 77285 that divides 77285 without a remainder.

1, 5, 13, 29, 41, 65, 145, 205, 377, 533, 1189, 1885, 2665, 5945, 15457

Step-4: Factors of 77295

List of positive integer factors of 77295 that divides 77285 without a remainder.

1, 3, 5, 15, 5153, 15459, 25765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77285 and 77295. The biggest common factor number is the GCF number.
So the greatest common factor 77285 and 77295 is 5.

Also check out the Least Common Multiple of 77285 and 77295