What is the Greatest Common Factor of 61209 and 61224?

Greatest common factor (GCF) of 61209 and 61224 is 3.

GCF(61209,61224) = 3

We will now calculate the prime factors of 61209 and 61224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61209 and 61224.

How to find the GCF of 61209 and 61224?

We will first find the prime factorization of 61209 and 61224. After we will calculate the factors of 61209 and 61224 and find the biggest common factor number .

Step-1: Prime Factorization of 61209

Prime factors of 61209 are 3, 2267. Prime factorization of 61209 in exponential form is:

61209 = 3³ × 2267¹

Step-2: Prime Factorization of 61224

Prime factors of 61224 are 2, 3, 2551. Prime factorization of 61224 in exponential form is:

61224 = 2³ × 3¹ × 2551¹

Step-3: Factors of 61209

List of positive integer factors of 61209 that divides 61209 without a remainder.

1, 3, 9, 27, 2267, 6801, 20403

Step-4: Factors of 61224

List of positive integer factors of 61224 that divides 61209 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2551, 5102, 7653, 10204, 15306, 20408, 30612

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61209 and 61224. The biggest common factor number is the GCF number.
So the greatest common factor 61209 and 61224 is 3.

Also check out the Least Common Multiple of 61209 and 61224