What is the Greatest Common Factor of 78464 and 78469?

Greatest common factor (GCF) of 78464 and 78469 is 1.

GCF(78464,78469) = 1

We will now calculate the prime factors of 78464 and 78469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78464 and 78469.

How to find the GCF of 78464 and 78469?

We will first find the prime factorization of 78464 and 78469. After we will calculate the factors of 78464 and 78469 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 78469

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

78469 = 131¹ × 599¹

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 78469

List of positive integer factors of 78469 that divides 78464 without a remainder.

1, 131, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78464 and 78469. The biggest common factor number is the GCF number.
So the greatest common factor 78464 and 78469 is 1.

Also check out the Least Common Multiple of 78464 and 78469