What is the Greatest Common Factor of 68475 and 68494?

Greatest common factor (GCF) of 68475 and 68494 is 1.

GCF(68475,68494) = 1

We will now calculate the prime factors of 68475 and 68494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68475 and 68494.

How to find the GCF of 68475 and 68494?

We will first find the prime factorization of 68475 and 68494. After we will calculate the factors of 68475 and 68494 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 68494

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

68494 = 2¹ × 23¹ × 1489¹

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 68494

List of positive integer factors of 68494 that divides 68475 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68475 and 68494. The biggest common factor number is the GCF number.
So the greatest common factor 68475 and 68494 is 1.

Also check out the Least Common Multiple of 68475 and 68494