What is the Greatest Common Factor of 68475 and 68480?

Greatest common factor (GCF) of 68475 and 68480 is 5.

GCF(68475,68480) = 5

We will now calculate the prime factors of 68475 and 68480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68475 and 68480.

How to find the GCF of 68475 and 68480?

We will first find the prime factorization of 68475 and 68480. After we will calculate the factors of 68475 and 68480 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68480

Prime factors of 68480 are 2, 5, 107. Prime factorization of 68480 in exponential form is:

68480 = 2⁷ × 5¹ × 107¹

Step-3: Factors of 68475

List of positive integer factors of 68475 that divides 68475 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

Step-4: Factors of 68480

List of positive integer factors of 68480 that divides 68475 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 107, 128, 160, 214, 320, 428, 535, 640, 856, 1070, 1712, 2140, 3424, 4280, 6848, 8560, 13696, 17120, 34240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68475 and 68480. The biggest common factor number is the GCF number.
So the greatest common factor 68475 and 68480 is 5.

Also check out the Least Common Multiple of 68475 and 68480