What is the Greatest Common Factor of 59826 and 59832?

Greatest common factor (GCF) of 59826 and 59832 is 6.

GCF(59826,59832) = 6

We will now calculate the prime factors of 59826 and 59832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59826 and 59832.

How to find the GCF of 59826 and 59832?

We will first find the prime factorization of 59826 and 59832. After we will calculate the factors of 59826 and 59832 and find the biggest common factor number .

Step-1: Prime Factorization of 59826

Prime factors of 59826 are 2, 3, 13, 59. Prime factorization of 59826 in exponential form is:

59826 = 2¹ × 3¹ × 13² × 59¹

Step-2: Prime Factorization of 59832

Prime factors of 59832 are 2, 3, 277. Prime factorization of 59832 in exponential form is:

59832 = 2³ × 3³ × 277¹

Step-3: Factors of 59826

List of positive integer factors of 59826 that divides 59826 without a remainder.

1, 2, 3, 6, 13, 26, 39, 59, 78, 118, 169, 177, 338, 354, 507, 767, 1014, 1534, 2301, 4602, 9971, 19942, 29913

Step-4: Factors of 59832

List of positive integer factors of 59832 that divides 59826 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 277, 554, 831, 1108, 1662, 2216, 2493, 3324, 4986, 6648, 7479, 9972, 14958, 19944, 29916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59826 and 59832. The biggest common factor number is the GCF number.
So the greatest common factor 59826 and 59832 is 6.

Also check out the Least Common Multiple of 59826 and 59832