What is the Greatest Common Factor of 60837 and 60844?

Greatest common factor (GCF) of 60837 and 60844 is 7.

GCF(60837,60844) = 7

We will now calculate the prime factors of 60837 and 60844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60837 and 60844.

How to find the GCF of 60837 and 60844?

We will first find the prime factorization of 60837 and 60844. After we will calculate the factors of 60837 and 60844 and find the biggest common factor number .

Step-1: Prime Factorization of 60837

Prime factors of 60837 are 3, 7, 2897. Prime factorization of 60837 in exponential form is:

60837 = 3¹ × 7¹ × 2897¹

Step-2: Prime Factorization of 60844

Prime factors of 60844 are 2, 7, 41, 53. Prime factorization of 60844 in exponential form is:

60844 = 2² × 7¹ × 41¹ × 53¹

Step-3: Factors of 60837

List of positive integer factors of 60837 that divides 60837 without a remainder.

1, 3, 7, 21, 2897, 8691, 20279

Step-4: Factors of 60844

List of positive integer factors of 60844 that divides 60837 without a remainder.

1, 2, 4, 7, 14, 28, 41, 53, 82, 106, 164, 212, 287, 371, 574, 742, 1148, 1484, 2173, 4346, 8692, 15211, 30422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60837 and 60844. The biggest common factor number is the GCF number.
So the greatest common factor 60837 and 60844 is 7.

Also check out the Least Common Multiple of 60837 and 60844