What is the Greatest Common Factor of 61533 and 61551?

Greatest common factor (GCF) of 61533 and 61551 is 9.

GCF(61533,61551) = 9

We will now calculate the prime factors of 61533 and 61551, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61533 and 61551.

How to find the GCF of 61533 and 61551?

We will first find the prime factorization of 61533 and 61551. After we will calculate the factors of 61533 and 61551 and find the biggest common factor number .

Step-1: Prime Factorization of 61533

Prime factors of 61533 are 3, 43, 53. Prime factorization of 61533 in exponential form is:

61533 = 3³ × 43¹ × 53¹

Step-2: Prime Factorization of 61551

Prime factors of 61551 are 3, 7, 977. Prime factorization of 61551 in exponential form is:

61551 = 3² × 7¹ × 977¹

Step-3: Factors of 61533

List of positive integer factors of 61533 that divides 61533 without a remainder.

1, 3, 9, 27, 43, 53, 129, 159, 387, 477, 1161, 1431, 2279, 6837, 20511

Step-4: Factors of 61551

List of positive integer factors of 61551 that divides 61533 without a remainder.

1, 3, 7, 9, 21, 63, 977, 2931, 6839, 8793, 20517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61533 and 61551. The biggest common factor number is the GCF number.
So the greatest common factor 61533 and 61551 is 9.

Also check out the Least Common Multiple of 61533 and 61551