What is the Greatest Common Factor of 61533 and 61550?

Greatest common factor (GCF) of 61533 and 61550 is 1.

GCF(61533,61550) = 1

We will now calculate the prime factors of 61533 and 61550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61533 and 61550.

How to find the GCF of 61533 and 61550?

We will first find the prime factorization of 61533 and 61550. After we will calculate the factors of 61533 and 61550 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 61550

Prime factors of 61550 are 2, 5, 1231. Prime factorization of 61550 in exponential form is:

61550 = 2¹ × 5² × 1231¹

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 61550

List of positive integer factors of 61550 that divides 61533 without a remainder.

1, 2, 5, 10, 25, 50, 1231, 2462, 6155, 12310, 30775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61533 and 61550. The biggest common factor number is the GCF number.
So the greatest common factor 61533 and 61550 is 1.

Also check out the Least Common Multiple of 61533 and 61550