What is the Greatest Common Factor of 68496 and 68512?

Greatest common factor (GCF) of 68496 and 68512 is 16.

GCF(68496,68512) = 16

We will now calculate the prime factors of 68496 and 68512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68496 and 68512.

How to find the GCF of 68496 and 68512?

We will first find the prime factorization of 68496 and 68512. After we will calculate the factors of 68496 and 68512 and find the biggest common factor number .

Step-1: Prime Factorization of 68496

Prime factors of 68496 are 2, 3, 1427. Prime factorization of 68496 in exponential form is:

68496 = 2⁴ × 3¹ × 1427¹

Step-2: Prime Factorization of 68512

Prime factors of 68512 are 2, 2141. Prime factorization of 68512 in exponential form is:

68512 = 2⁵ × 2141¹

Step-3: Factors of 68496

List of positive integer factors of 68496 that divides 68496 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1427, 2854, 4281, 5708, 8562, 11416, 17124, 22832, 34248

Step-4: Factors of 68512

List of positive integer factors of 68512 that divides 68496 without a remainder.

1, 2, 4, 8, 16, 32, 2141, 4282, 8564, 17128, 34256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68496 and 68512. The biggest common factor number is the GCF number.
So the greatest common factor 68496 and 68512 is 16.

Also check out the Least Common Multiple of 68496 and 68512