What is the Greatest Common Factor of 59839 and 59853?

Greatest common factor (GCF) of 59839 and 59853 is 1.

GCF(59839,59853) = 1

We will now calculate the prime factors of 59839 and 59853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59839 and 59853.

How to find the GCF of 59839 and 59853?

We will first find the prime factorization of 59839 and 59853. After we will calculate the factors of 59839 and 59853 and find the biggest common factor number .

Step-1: Prime Factorization of 59839

Prime factors of 59839 are 13, 4603. Prime factorization of 59839 in exponential form is:

59839 = 13¹ × 4603¹

Step-2: 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-3: Factors of 59839

List of positive integer factors of 59839 that divides 59839 without a remainder.

1, 13, 4603

Step-4: Factors of 59853

List of positive integer factors of 59853 that divides 59839 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59839 and 59853. The biggest common factor number is the GCF number.
So the greatest common factor 59839 and 59853 is 1.

Also check out the Least Common Multiple of 59839 and 59853