What is the Greatest Common Factor of 36554 and 36561?

Greatest common factor (GCF) of 36554 and 36561 is 7.

GCF(36554,36561) = 7

We will now calculate the prime factors of 36554 and 36561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36554 and 36561.

How to find the GCF of 36554 and 36561?

We will first find the prime factorization of 36554 and 36561. After we will calculate the factors of 36554 and 36561 and find the biggest common factor number .

Step-1: Prime Factorization of 36554

Prime factors of 36554 are 2, 7, 373. Prime factorization of 36554 in exponential form is:

36554 = 2¹ × 7² × 373¹

Step-2: Prime Factorization of 36561

Prime factors of 36561 are 3, 7, 1741. Prime factorization of 36561 in exponential form is:

36561 = 3¹ × 7¹ × 1741¹

Step-3: Factors of 36554

List of positive integer factors of 36554 that divides 36554 without a remainder.

1, 2, 7, 14, 49, 98, 373, 746, 2611, 5222, 18277

Step-4: Factors of 36561

List of positive integer factors of 36561 that divides 36554 without a remainder.

1, 3, 7, 21, 1741, 5223, 12187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36554 and 36561. The biggest common factor number is the GCF number.
So the greatest common factor 36554 and 36561 is 7.

Also check out the Least Common Multiple of 36554 and 36561