What is the Greatest Common Factor of 68494 and 68512?

Greatest common factor (GCF) of 68494 and 68512 is 2.

GCF(68494,68512) = 2

We will now calculate the prime factors of 68494 and 68512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68494 and 68512.

How to find the GCF of 68494 and 68512?

We will first find the prime factorization of 68494 and 68512. After we will calculate the factors of 68494 and 68512 and find the biggest common factor number .

Step-1: Prime Factorization of 68494

Prime factors of 68494 are 2, 23, 1489. Prime factorization of 68494 in exponential form is:

68494 = 2¹ × 23¹ × 1489¹

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 68494

List of positive integer factors of 68494 that divides 68494 without a remainder.

1, 2, 23, 46, 1489, 2978, 34247

Step-4: Factors of 68512

List of positive integer factors of 68512 that divides 68494 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 68494 and 68512. The biggest common factor number is the GCF number.
So the greatest common factor 68494 and 68512 is 2.

Also check out the Least Common Multiple of 68494 and 68512