What is the Greatest Common Factor of 68432 and 68439?

Greatest common factor (GCF) of 68432 and 68439 is 7.

GCF(68432,68439) = 7

We will now calculate the prime factors of 68432 and 68439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68432 and 68439.

How to find the GCF of 68432 and 68439?

We will first find the prime factorization of 68432 and 68439. After we will calculate the factors of 68432 and 68439 and find the biggest common factor number .

Step-1: Prime Factorization of 68432

Prime factors of 68432 are 2, 7, 13, 47. Prime factorization of 68432 in exponential form is:

68432 = 2⁴ × 7¹ × 13¹ × 47¹

Step-2: Prime Factorization of 68439

Prime factors of 68439 are 3, 7, 3259. Prime factorization of 68439 in exponential form is:

68439 = 3¹ × 7¹ × 3259¹

Step-3: Factors of 68432

List of positive integer factors of 68432 that divides 68432 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 47, 52, 56, 91, 94, 104, 112, 182, 188, 208, 329, 364, 376, 611, 658, 728, 752, 1222, 1316, 1456, 2444, 2632, 4277, 4888, 5264, 8554, 9776, 17108, 34216

Step-4: Factors of 68439

List of positive integer factors of 68439 that divides 68432 without a remainder.

1, 3, 7, 21, 3259, 9777, 22813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68432 and 68439. The biggest common factor number is the GCF number.
So the greatest common factor 68432 and 68439 is 7.

Also check out the Least Common Multiple of 68432 and 68439