What is the Greatest Common Factor of 68432 and 68446?

Greatest common factor (GCF) of 68432 and 68446 is 14.

GCF(68432,68446) = 14

We will now calculate the prime factors of 68432 and 68446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68432 and 68446.

How to find the GCF of 68432 and 68446?

We will first find the prime factorization of 68432 and 68446. After we will calculate the factors of 68432 and 68446 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 68446

Prime factors of 68446 are 2, 7, 4889. Prime factorization of 68446 in exponential form is:

68446 = 2¹ × 7¹ × 4889¹

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 68446

List of positive integer factors of 68446 that divides 68432 without a remainder.

1, 2, 7, 14, 4889, 9778, 34223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68432 and 68446. The biggest common factor number is the GCF number.
So the greatest common factor 68432 and 68446 is 14.

Also check out the Least Common Multiple of 68432 and 68446