What is the Greatest Common Factor of 68464 and 68475?

Greatest common factor (GCF) of 68464 and 68475 is 11.

GCF(68464,68475) = 11

We will now calculate the prime factors of 68464 and 68475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68464 and 68475.

How to find the GCF of 68464 and 68475?

We will first find the prime factorization of 68464 and 68475. After we will calculate the factors of 68464 and 68475 and find the biggest common factor number .

Step-1: Prime Factorization of 68464

Prime factors of 68464 are 2, 11, 389. Prime factorization of 68464 in exponential form is:

68464 = 2⁴ × 11¹ × 389¹

Step-2: Prime Factorization of 68475

Prime factors of 68475 are 3, 5, 11, 83. Prime factorization of 68475 in exponential form is:

68475 = 3¹ × 5² × 11¹ × 83¹

Step-3: Factors of 68464

List of positive integer factors of 68464 that divides 68464 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 389, 778, 1556, 3112, 4279, 6224, 8558, 17116, 34232

Step-4: Factors of 68475

List of positive integer factors of 68475 that divides 68464 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 83, 165, 249, 275, 415, 825, 913, 1245, 2075, 2739, 4565, 6225, 13695, 22825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68464 and 68475. The biggest common factor number is the GCF number.
So the greatest common factor 68464 and 68475 is 11.

Also check out the Least Common Multiple of 68464 and 68475