What is the Greatest Common Factor of 59842 and 59856?

Greatest common factor (GCF) of 59842 and 59856 is 2.

GCF(59842,59856) = 2

We will now calculate the prime factors of 59842 and 59856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59842 and 59856.

How to find the GCF of 59842 and 59856?

We will first find the prime factorization of 59842 and 59856. After we will calculate the factors of 59842 and 59856 and find the biggest common factor number .

Step-1: Prime Factorization of 59842

Prime factors of 59842 are 2, 29921. Prime factorization of 59842 in exponential form is:

59842 = 2¹ × 29921¹

Step-2: Prime Factorization of 59856

Prime factors of 59856 are 2, 3, 29, 43. Prime factorization of 59856 in exponential form is:

59856 = 2⁴ × 3¹ × 29¹ × 43¹

Step-3: Factors of 59842

List of positive integer factors of 59842 that divides 59842 without a remainder.

1, 2, 29921

Step-4: Factors of 59856

List of positive integer factors of 59856 that divides 59842 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 43, 48, 58, 86, 87, 116, 129, 172, 174, 232, 258, 344, 348, 464, 516, 688, 696, 1032, 1247, 1392, 2064, 2494, 3741, 4988, 7482, 9976, 14964, 19952, 29928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59842 and 59856. The biggest common factor number is the GCF number.
So the greatest common factor 59842 and 59856 is 2.

Also check out the Least Common Multiple of 59842 and 59856