What is the Greatest Common Factor of 59836 and 59845?

Greatest common factor (GCF) of 59836 and 59845 is 1.

GCF(59836,59845) = 1

We will now calculate the prime factors of 59836 and 59845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59836 and 59845.

How to find the GCF of 59836 and 59845?

We will first find the prime factorization of 59836 and 59845. After we will calculate the factors of 59836 and 59845 and find the biggest common factor number .

Step-1: Prime Factorization of 59836

Prime factors of 59836 are 2, 7, 2137. Prime factorization of 59836 in exponential form is:

59836 = 2² × 7¹ × 2137¹

Step-2: Prime Factorization of 59845

Prime factors of 59845 are 5, 11969. Prime factorization of 59845 in exponential form is:

59845 = 5¹ × 11969¹

Step-3: Factors of 59836

List of positive integer factors of 59836 that divides 59836 without a remainder.

1, 2, 4, 7, 14, 28, 2137, 4274, 8548, 14959, 29918

Step-4: Factors of 59845

List of positive integer factors of 59845 that divides 59836 without a remainder.

1, 5, 11969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59836 and 59845. The biggest common factor number is the GCF number.
So the greatest common factor 59836 and 59845 is 1.

Also check out the Least Common Multiple of 59836 and 59845