What is the Greatest Common Factor of 61812 and 61821?

Greatest common factor (GCF) of 61812 and 61821 is 9.

GCF(61812,61821) = 9

We will now calculate the prime factors of 61812 and 61821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61812 and 61821.

How to find the GCF of 61812 and 61821?

We will first find the prime factorization of 61812 and 61821. After we will calculate the factors of 61812 and 61821 and find the biggest common factor number .

Step-1: Prime Factorization of 61812

Prime factors of 61812 are 2, 3, 17, 101. Prime factorization of 61812 in exponential form is:

61812 = 2² × 3² × 17¹ × 101¹

Step-2: Prime Factorization of 61821

Prime factors of 61821 are 3, 6869. Prime factorization of 61821 in exponential form is:

61821 = 3² × 6869¹

Step-3: Factors of 61812

List of positive integer factors of 61812 that divides 61812 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 101, 102, 153, 202, 204, 303, 306, 404, 606, 612, 909, 1212, 1717, 1818, 3434, 3636, 5151, 6868, 10302, 15453, 20604, 30906

Step-4: Factors of 61821

List of positive integer factors of 61821 that divides 61812 without a remainder.

1, 3, 9, 6869, 20607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61812 and 61821. The biggest common factor number is the GCF number.
So the greatest common factor 61812 and 61821 is 9.

Also check out the Least Common Multiple of 61812 and 61821