What is the Greatest Common Factor of 59852 and 59865?

Greatest common factor (GCF) of 59852 and 59865 is 13.

GCF(59852,59865) = 13

We will now calculate the prime factors of 59852 and 59865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59852 and 59865.

How to find the GCF of 59852 and 59865?

We will first find the prime factorization of 59852 and 59865. After we will calculate the factors of 59852 and 59865 and find the biggest common factor number .

Step-1: Prime Factorization of 59852

Prime factors of 59852 are 2, 13, 1151. Prime factorization of 59852 in exponential form is:

59852 = 2² × 13¹ × 1151¹

Step-2: Prime Factorization of 59865

Prime factors of 59865 are 3, 5, 13, 307. Prime factorization of 59865 in exponential form is:

59865 = 3¹ × 5¹ × 13¹ × 307¹

Step-3: Factors of 59852

List of positive integer factors of 59852 that divides 59852 without a remainder.

1, 2, 4, 13, 26, 52, 1151, 2302, 4604, 14963, 29926

Step-4: Factors of 59865

List of positive integer factors of 59865 that divides 59852 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 307, 921, 1535, 3991, 4605, 11973, 19955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59852 and 59865. The biggest common factor number is the GCF number.
So the greatest common factor 59852 and 59865 is 13.

Also check out the Least Common Multiple of 59852 and 59865