What is the Greatest Common Factor of 78464 and 78473?

Greatest common factor (GCF) of 78464 and 78473 is 1.

GCF(78464,78473) = 1

We will now calculate the prime factors of 78464 and 78473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78464 and 78473.

How to find the GCF of 78464 and 78473?

We will first find the prime factorization of 78464 and 78473. After we will calculate the factors of 78464 and 78473 and find the biggest common factor number .

Step-1: Prime Factorization of 78464

Prime factors of 78464 are 2, 613. Prime factorization of 78464 in exponential form is:

78464 = 2⁷ × 613¹

Step-2: Prime Factorization of 78473

Prime factors of 78473 are 97, 809. Prime factorization of 78473 in exponential form is:

78473 = 97¹ × 809¹

Step-3: Factors of 78464

List of positive integer factors of 78464 that divides 78464 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 613, 1226, 2452, 4904, 9808, 19616, 39232

Step-4: Factors of 78473

List of positive integer factors of 78473 that divides 78464 without a remainder.

1, 97, 809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78464 and 78473. The biggest common factor number is the GCF number.
So the greatest common factor 78464 and 78473 is 1.

Also check out the Least Common Multiple of 78464 and 78473