What is the Greatest Common Factor of 78155 and 78175?

Greatest common factor (GCF) of 78155 and 78175 is 5.

GCF(78155,78175) = 5

We will now calculate the prime factors of 78155 and 78175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78155 and 78175.

How to find the GCF of 78155 and 78175?

We will first find the prime factorization of 78155 and 78175. After we will calculate the factors of 78155 and 78175 and find the biggest common factor number .

Step-1: Prime Factorization of 78155

Prime factors of 78155 are 5, 7, 11, 29. Prime factorization of 78155 in exponential form is:

78155 = 5¹ × 7² × 11¹ × 29¹

Step-2: Prime Factorization of 78175

Prime factors of 78175 are 5, 53, 59. Prime factorization of 78175 in exponential form is:

78175 = 5² × 53¹ × 59¹

Step-3: Factors of 78155

List of positive integer factors of 78155 that divides 78155 without a remainder.

1, 5, 7, 11, 29, 35, 49, 55, 77, 145, 203, 245, 319, 385, 539, 1015, 1421, 1595, 2233, 2695, 7105, 11165, 15631

Step-4: Factors of 78175

List of positive integer factors of 78175 that divides 78155 without a remainder.

1, 5, 25, 53, 59, 265, 295, 1325, 1475, 3127, 15635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78155 and 78175. The biggest common factor number is the GCF number.
So the greatest common factor 78155 and 78175 is 5.

Also check out the Least Common Multiple of 78155 and 78175