What is the Greatest Common Factor of 77175 and 77185?

Greatest common factor (GCF) of 77175 and 77185 is 5.

GCF(77175,77185) = 5

We will now calculate the prime factors of 77175 and 77185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77175 and 77185.

How to find the GCF of 77175 and 77185?

We will first find the prime factorization of 77175 and 77185. After we will calculate the factors of 77175 and 77185 and find the biggest common factor number .

Step-1: Prime Factorization of 77175

Prime factors of 77175 are 3, 5, 7. Prime factorization of 77175 in exponential form is:

77175 = 3² × 5² × 7³

Step-2: Prime Factorization of 77185

Prime factors of 77185 are 5, 43, 359. Prime factorization of 77185 in exponential form is:

77185 = 5¹ × 43¹ × 359¹

Step-3: Factors of 77175

List of positive integer factors of 77175 that divides 77175 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 147, 175, 225, 245, 315, 343, 441, 525, 735, 1029, 1225, 1575, 1715, 2205, 3087, 3675, 5145, 8575, 11025, 15435, 25725

Step-4: Factors of 77185

List of positive integer factors of 77185 that divides 77175 without a remainder.

1, 5, 43, 215, 359, 1795, 15437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77175 and 77185. The biggest common factor number is the GCF number.
So the greatest common factor 77175 and 77185 is 5.

Also check out the Least Common Multiple of 77175 and 77185