What is the Greatest Common Factor of 61269 and 61284?

Greatest common factor (GCF) of 61269 and 61284 is 3.

GCF(61269,61284) = 3

We will now calculate the prime factors of 61269 and 61284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61269 and 61284.

How to find the GCF of 61269 and 61284?

We will first find the prime factorization of 61269 and 61284. After we will calculate the factors of 61269 and 61284 and find the biggest common factor number .

Step-1: Prime Factorization of 61269

Prime factors of 61269 are 3, 13, 1571. Prime factorization of 61269 in exponential form is:

61269 = 3¹ × 13¹ × 1571¹

Step-2: 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-3: Factors of 61269

List of positive integer factors of 61269 that divides 61269 without a remainder.

1, 3, 13, 39, 1571, 4713, 20423

Step-4: Factors of 61284

List of positive integer factors of 61284 that divides 61269 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61269 and 61284. The biggest common factor number is the GCF number.
So the greatest common factor 61269 and 61284 is 3.

Also check out the Least Common Multiple of 61269 and 61284