What is the Greatest Common Factor of 61284 and 61299?

Greatest common factor (GCF) of 61284 and 61299 is 3.

GCF(61284,61299) = 3

We will now calculate the prime factors of 61284 and 61299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61284 and 61299.

How to find the GCF of 61284 and 61299?

We will first find the prime factorization of 61284 and 61299. After we will calculate the factors of 61284 and 61299 and find the biggest common factor number .

Step-1: Prime Factorization of 61284

Prime factors of 61284 are 2, 3, 5107. Prime factorization of 61284 in exponential form is:

61284 = 2² × 3¹ × 5107¹

Step-2: Prime Factorization of 61299

Prime factors of 61299 are 3, 7, 139. Prime factorization of 61299 in exponential form is:

61299 = 3² × 7² × 139¹

Step-3: Factors of 61284

List of positive integer factors of 61284 that divides 61284 without a remainder.

1, 2, 3, 4, 6, 12, 5107, 10214, 15321, 20428, 30642

Step-4: Factors of 61299

List of positive integer factors of 61299 that divides 61284 without a remainder.

1, 3, 7, 9, 21, 49, 63, 139, 147, 417, 441, 973, 1251, 2919, 6811, 8757, 20433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61284 and 61299. The biggest common factor number is the GCF number.
So the greatest common factor 61284 and 61299 is 3.

Also check out the Least Common Multiple of 61284 and 61299