What is the Greatest Common Factor of 67439 and 67456?

Greatest common factor (GCF) of 67439 and 67456 is 17.

GCF(67439,67456) = 17

We will now calculate the prime factors of 67439 and 67456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67439 and 67456.

How to find the GCF of 67439 and 67456?

We will first find the prime factorization of 67439 and 67456. After we will calculate the factors of 67439 and 67456 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 67456

Prime factors of 67456 are 2, 17, 31. Prime factorization of 67456 in exponential form is:

67456 = 2⁷ × 17¹ × 31¹

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 67456

List of positive integer factors of 67456 that divides 67439 without a remainder.

1, 2, 4, 8, 16, 17, 31, 32, 34, 62, 64, 68, 124, 128, 136, 248, 272, 496, 527, 544, 992, 1054, 1088, 1984, 2108, 2176, 3968, 4216, 8432, 16864, 33728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67439 and 67456. The biggest common factor number is the GCF number.
So the greatest common factor 67439 and 67456 is 17.

Also check out the Least Common Multiple of 67439 and 67456