What is the Greatest Common Factor of 67439 and 67457?

Greatest common factor (GCF) of 67439 and 67457 is 1.

GCF(67439,67457) = 1

We will now calculate the prime factors of 67439 and 67457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67439 and 67457.

How to find the GCF of 67439 and 67457?

We will first find the prime factorization of 67439 and 67457. After we will calculate the factors of 67439 and 67457 and find the biggest common factor number .

Step-1: Prime Factorization of 67439

Prime factors of 67439 are 17, 3967. Prime factorization of 67439 in exponential form is:

67439 = 17¹ × 3967¹

Step-2: Prime Factorization of 67457

Prime factors of 67457 are 13, 5189. Prime factorization of 67457 in exponential form is:

67457 = 13¹ × 5189¹

Step-3: Factors of 67439

List of positive integer factors of 67439 that divides 67439 without a remainder.

1, 17, 3967

Step-4: Factors of 67457

List of positive integer factors of 67457 that divides 67439 without a remainder.

1, 13, 5189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67439 and 67457. The biggest common factor number is the GCF number.
So the greatest common factor 67439 and 67457 is 1.

Also check out the Least Common Multiple of 67439 and 67457