What is the Greatest Common Factor of 68580 and 68584?

Greatest common factor (GCF) of 68580 and 68584 is 4.

GCF(68580,68584) = 4

We will now calculate the prime factors of 68580 and 68584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68580 and 68584.

How to find the GCF of 68580 and 68584?

We will first find the prime factorization of 68580 and 68584. After we will calculate the factors of 68580 and 68584 and find the biggest common factor number .

Step-1: Prime Factorization of 68580

Prime factors of 68580 are 2, 3, 5, 127. Prime factorization of 68580 in exponential form is:

68580 = 2² × 3³ × 5¹ × 127¹

Step-2: Prime Factorization of 68584

Prime factors of 68584 are 2, 8573. Prime factorization of 68584 in exponential form is:

68584 = 2³ × 8573¹

Step-3: Factors of 68580

List of positive integer factors of 68580 that divides 68580 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 127, 135, 180, 254, 270, 381, 508, 540, 635, 762, 1143, 1270, 1524, 1905, 2286, 2540, 3429, 3810, 4572, 5715, 6858, 7620, 11430, 13716, 17145, 22860, 34290

Step-4: Factors of 68584

List of positive integer factors of 68584 that divides 68580 without a remainder.

1, 2, 4, 8, 8573, 17146, 34292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68580 and 68584. The biggest common factor number is the GCF number.
So the greatest common factor 68580 and 68584 is 4.

Also check out the Least Common Multiple of 68580 and 68584