What is the Greatest Common Factor of 51618 and 51636?

Greatest common factor (GCF) of 51618 and 51636 is 6.

GCF(51618,51636) = 6

We will now calculate the prime factors of 51618 and 51636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51618 and 51636.

How to find the GCF of 51618 and 51636?

We will first find the prime factorization of 51618 and 51636. After we will calculate the factors of 51618 and 51636 and find the biggest common factor number .

Step-1: Prime Factorization of 51618

Prime factors of 51618 are 2, 3, 7, 1229. Prime factorization of 51618 in exponential form is:

51618 = 2¹ × 3¹ × 7¹ × 1229¹

Step-2: Prime Factorization of 51636

Prime factors of 51636 are 2, 3, 13, 331. Prime factorization of 51636 in exponential form is:

51636 = 2² × 3¹ × 13¹ × 331¹

Step-3: Factors of 51618

List of positive integer factors of 51618 that divides 51618 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1229, 2458, 3687, 7374, 8603, 17206, 25809

Step-4: Factors of 51636

List of positive integer factors of 51636 that divides 51618 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 331, 662, 993, 1324, 1986, 3972, 4303, 8606, 12909, 17212, 25818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51618 and 51636. The biggest common factor number is the GCF number.
So the greatest common factor 51618 and 51636 is 6.

Also check out the Least Common Multiple of 51618 and 51636