What is the Greatest Common Factor of 68475 and 68479?

Greatest common factor (GCF) of 68475 and 68479 is 1.

GCF(68475,68479) = 1

We will now calculate the prime factors of 68475 and 68479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68475 and 68479.

How to find the GCF of 68475 and 68479?

We will first find the prime factorization of 68475 and 68479. After we will calculate the factors of 68475 and 68479 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 68479

Prime factors of 68479 are 31, 47. Prime factorization of 68479 in exponential form is:

68479 = 31¹ × 47²

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 68479

List of positive integer factors of 68479 that divides 68475 without a remainder.

1, 31, 47, 1457, 2209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68475 and 68479. The biggest common factor number is the GCF number.
So the greatest common factor 68475 and 68479 is 1.

Also check out the Least Common Multiple of 68475 and 68479