What is the Greatest Common Factor of 42584 and 42600?

Greatest common factor (GCF) of 42584 and 42600 is 8.

GCF(42584,42600) = 8

We will now calculate the prime factors of 42584 and 42600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42584 and 42600.

How to find the GCF of 42584 and 42600?

We will first find the prime factorization of 42584 and 42600. After we will calculate the factors of 42584 and 42600 and find the biggest common factor number .

Step-1: Prime Factorization of 42584

Prime factors of 42584 are 2, 5323. Prime factorization of 42584 in exponential form is:

42584 = 2³ × 5323¹

Step-2: Prime Factorization of 42600

Prime factors of 42600 are 2, 3, 5, 71. Prime factorization of 42600 in exponential form is:

42600 = 2³ × 3¹ × 5² × 71¹

Step-3: Factors of 42584

List of positive integer factors of 42584 that divides 42584 without a remainder.

1, 2, 4, 8, 5323, 10646, 21292

Step-4: Factors of 42600

List of positive integer factors of 42600 that divides 42584 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 71, 75, 100, 120, 142, 150, 200, 213, 284, 300, 355, 426, 568, 600, 710, 852, 1065, 1420, 1704, 1775, 2130, 2840, 3550, 4260, 5325, 7100, 8520, 10650, 14200, 21300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42584 and 42600. The biggest common factor number is the GCF number.
So the greatest common factor 42584 and 42600 is 8.

Also check out the Least Common Multiple of 42584 and 42600