What is the Greatest Common Factor of 68412 and 68432?

Greatest common factor (GCF) of 68412 and 68432 is 4.

GCF(68412,68432) = 4

We will now calculate the prime factors of 68412 and 68432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68412 and 68432.

How to find the GCF of 68412 and 68432?

We will first find the prime factorization of 68412 and 68432. After we will calculate the factors of 68412 and 68432 and find the biggest common factor number .

Step-1: Prime Factorization of 68412

Prime factors of 68412 are 2, 3, 5701. Prime factorization of 68412 in exponential form is:

68412 = 2² × 3¹ × 5701¹

Step-2: 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-3: Factors of 68412

List of positive integer factors of 68412 that divides 68412 without a remainder.

1, 2, 3, 4, 6, 12, 5701, 11402, 17103, 22804, 34206

Step-4: Factors of 68432

List of positive integer factors of 68432 that divides 68412 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68412 and 68432. The biggest common factor number is the GCF number.
So the greatest common factor 68412 and 68432 is 4.

Also check out the Least Common Multiple of 68412 and 68432