What is the Greatest Common Factor of 61836 and 61842?

Greatest common factor (GCF) of 61836 and 61842 is 6.

GCF(61836,61842) = 6

We will now calculate the prime factors of 61836 and 61842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61836 and 61842.

How to find the GCF of 61836 and 61842?

We will first find the prime factorization of 61836 and 61842. After we will calculate the factors of 61836 and 61842 and find the biggest common factor number .

Step-1: Prime Factorization of 61836

Prime factors of 61836 are 2, 3, 5153. Prime factorization of 61836 in exponential form is:

61836 = 2² × 3¹ × 5153¹

Step-2: Prime Factorization of 61842

Prime factors of 61842 are 2, 3, 11, 937. Prime factorization of 61842 in exponential form is:

61842 = 2¹ × 3¹ × 11¹ × 937¹

Step-3: Factors of 61836

List of positive integer factors of 61836 that divides 61836 without a remainder.

1, 2, 3, 4, 6, 12, 5153, 10306, 15459, 20612, 30918

Step-4: Factors of 61842

List of positive integer factors of 61842 that divides 61836 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 937, 1874, 2811, 5622, 10307, 20614, 30921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61836 and 61842. The biggest common factor number is the GCF number.
So the greatest common factor 61836 and 61842 is 6.

Also check out the Least Common Multiple of 61836 and 61842