What is the Greatest Common Factor of 61554 and 61569?

Greatest common factor (GCF) of 61554 and 61569 is 3.

GCF(61554,61569) = 3

We will now calculate the prime factors of 61554 and 61569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61554 and 61569.

How to find the GCF of 61554 and 61569?

We will first find the prime factorization of 61554 and 61569. After we will calculate the factors of 61554 and 61569 and find the biggest common factor number .

Step-1: Prime Factorization of 61554

Prime factors of 61554 are 2, 3, 10259. Prime factorization of 61554 in exponential form is:

61554 = 2¹ × 3¹ × 10259¹

Step-2: Prime Factorization of 61569

Prime factors of 61569 are 3, 6841. Prime factorization of 61569 in exponential form is:

61569 = 3² × 6841¹

Step-3: Factors of 61554

List of positive integer factors of 61554 that divides 61554 without a remainder.

1, 2, 3, 6, 10259, 20518, 30777

Step-4: Factors of 61569

List of positive integer factors of 61569 that divides 61554 without a remainder.

1, 3, 9, 6841, 20523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61554 and 61569. The biggest common factor number is the GCF number.
So the greatest common factor 61554 and 61569 is 3.

Also check out the Least Common Multiple of 61554 and 61569