What is the Greatest Common Factor of 59853 and 59868?

Greatest common factor (GCF) of 59853 and 59868 is 3.

GCF(59853,59868) = 3

We will now calculate the prime factors of 59853 and 59868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59853 and 59868.

How to find the GCF of 59853 and 59868?

We will first find the prime factorization of 59853 and 59868. After we will calculate the factors of 59853 and 59868 and find the biggest common factor number .

Step-1: Prime Factorization of 59853

Prime factors of 59853 are 3, 71, 281. Prime factorization of 59853 in exponential form is:

59853 = 3¹ × 71¹ × 281¹

Step-2: Prime Factorization of 59868

Prime factors of 59868 are 2, 3, 1663. Prime factorization of 59868 in exponential form is:

59868 = 2² × 3² × 1663¹

Step-3: Factors of 59853

List of positive integer factors of 59853 that divides 59853 without a remainder.

1, 3, 71, 213, 281, 843, 19951

Step-4: Factors of 59868

List of positive integer factors of 59868 that divides 59853 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1663, 3326, 4989, 6652, 9978, 14967, 19956, 29934

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59853 and 59868. The biggest common factor number is the GCF number.
So the greatest common factor 59853 and 59868 is 3.

Also check out the Least Common Multiple of 59853 and 59868