What is the Greatest Common Factor of 78475 and 78495?

Greatest common factor (GCF) of 78475 and 78495 is 5.

GCF(78475,78495) = 5

We will now calculate the prime factors of 78475 and 78495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78475 and 78495.

How to find the GCF of 78475 and 78495?

We will first find the prime factorization of 78475 and 78495. After we will calculate the factors of 78475 and 78495 and find the biggest common factor number .

Step-1: Prime Factorization of 78475

Prime factors of 78475 are 5, 43, 73. Prime factorization of 78475 in exponential form is:

78475 = 5² × 43¹ × 73¹

Step-2: Prime Factorization of 78495

Prime factors of 78495 are 3, 5, 5233. Prime factorization of 78495 in exponential form is:

78495 = 3¹ × 5¹ × 5233¹

Step-3: Factors of 78475

List of positive integer factors of 78475 that divides 78475 without a remainder.

1, 5, 25, 43, 73, 215, 365, 1075, 1825, 3139, 15695

Step-4: Factors of 78495

List of positive integer factors of 78495 that divides 78475 without a remainder.

1, 3, 5, 15, 5233, 15699, 26165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78475 and 78495. The biggest common factor number is the GCF number.
So the greatest common factor 78475 and 78495 is 5.

Also check out the Least Common Multiple of 78475 and 78495