What is the Greatest Common Factor of 78475 and 78493?

Greatest common factor (GCF) of 78475 and 78493 is 1.

GCF(78475,78493) = 1

We will now calculate the prime factors of 78475 and 78493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78475 and 78493.

How to find the GCF of 78475 and 78493?

We will first find the prime factorization of 78475 and 78493. After we will calculate the factors of 78475 and 78493 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 78493

Prime factors of 78493 are 53, 1481. Prime factorization of 78493 in exponential form is:

78493 = 53¹ × 1481¹

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 78493

List of positive integer factors of 78493 that divides 78475 without a remainder.

1, 53, 1481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78475 and 78493. The biggest common factor number is the GCF number.
So the greatest common factor 78475 and 78493 is 1.

Also check out the Least Common Multiple of 78475 and 78493