What is the Greatest Common Factor of 78469 and 78484?

Greatest common factor (GCF) of 78469 and 78484 is 1.

GCF(78469,78484) = 1

We will now calculate the prime factors of 78469 and 78484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78469 and 78484.

How to find the GCF of 78469 and 78484?

We will first find the prime factorization of 78469 and 78484. After we will calculate the factors of 78469 and 78484 and find the biggest common factor number .

Step-1: Prime Factorization of 78469

Prime factors of 78469 are 131, 599. Prime factorization of 78469 in exponential form is:

78469 = 131¹ × 599¹

Step-2: Prime Factorization of 78484

Prime factors of 78484 are 2, 7, 2803. Prime factorization of 78484 in exponential form is:

78484 = 2² × 7¹ × 2803¹

Step-3: Factors of 78469

List of positive integer factors of 78469 that divides 78469 without a remainder.

1, 131, 599

Step-4: Factors of 78484

List of positive integer factors of 78484 that divides 78469 without a remainder.

1, 2, 4, 7, 14, 28, 2803, 5606, 11212, 19621, 39242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78469 and 78484. The biggest common factor number is the GCF number.
So the greatest common factor 78469 and 78484 is 1.

Also check out the Least Common Multiple of 78469 and 78484