What is the Greatest Common Factor of 61548 and 61566?

Greatest common factor (GCF) of 61548 and 61566 is 6.

GCF(61548,61566) = 6

We will now calculate the prime factors of 61548 and 61566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61548 and 61566.

How to find the GCF of 61548 and 61566?

We will first find the prime factorization of 61548 and 61566. After we will calculate the factors of 61548 and 61566 and find the biggest common factor number .

Step-1: Prime Factorization of 61548

Prime factors of 61548 are 2, 3, 23, 223. Prime factorization of 61548 in exponential form is:

61548 = 2² × 3¹ × 23¹ × 223¹

Step-2: Prime Factorization of 61566

Prime factors of 61566 are 2, 3, 31, 331. Prime factorization of 61566 in exponential form is:

61566 = 2¹ × 3¹ × 31¹ × 331¹

Step-3: Factors of 61548

List of positive integer factors of 61548 that divides 61548 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 223, 276, 446, 669, 892, 1338, 2676, 5129, 10258, 15387, 20516, 30774

Step-4: Factors of 61566

List of positive integer factors of 61566 that divides 61548 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 331, 662, 993, 1986, 10261, 20522, 30783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61548 and 61566. The biggest common factor number is the GCF number.
So the greatest common factor 61548 and 61566 is 6.

Also check out the Least Common Multiple of 61548 and 61566