What is the Greatest Common Factor of 66836 and 66847?

Greatest common factor (GCF) of 66836 and 66847 is 11.

GCF(66836,66847) = 11

We will now calculate the prime factors of 66836 and 66847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66836 and 66847.

How to find the GCF of 66836 and 66847?

We will first find the prime factorization of 66836 and 66847. After we will calculate the factors of 66836 and 66847 and find the biggest common factor number .

Step-1: Prime Factorization of 66836

Prime factors of 66836 are 2, 7, 11, 31. Prime factorization of 66836 in exponential form is:

66836 = 2² × 7² × 11¹ × 31¹

Step-2: Prime Factorization of 66847

Prime factors of 66847 are 11, 59, 103. Prime factorization of 66847 in exponential form is:

66847 = 11¹ × 59¹ × 103¹

Step-3: Factors of 66836

List of positive integer factors of 66836 that divides 66836 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 31, 44, 49, 62, 77, 98, 124, 154, 196, 217, 308, 341, 434, 539, 682, 868, 1078, 1364, 1519, 2156, 2387, 3038, 4774, 6076, 9548, 16709, 33418

Step-4: Factors of 66847

List of positive integer factors of 66847 that divides 66836 without a remainder.

1, 11, 59, 103, 649, 1133, 6077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66836 and 66847. The biggest common factor number is the GCF number.
So the greatest common factor 66836 and 66847 is 11.

Also check out the Least Common Multiple of 66836 and 66847