What is the Greatest Common Factor of 61732 and 61749?

Greatest common factor (GCF) of 61732 and 61749 is 1.

GCF(61732,61749) = 1

We will now calculate the prime factors of 61732 and 61749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61732 and 61749.

How to find the GCF of 61732 and 61749?

We will first find the prime factorization of 61732 and 61749. After we will calculate the factors of 61732 and 61749 and find the biggest common factor number .

Step-1: Prime Factorization of 61732

Prime factors of 61732 are 2, 11, 23, 61. Prime factorization of 61732 in exponential form is:

61732 = 2² × 11¹ × 23¹ × 61¹

Step-2: Prime Factorization of 61749

Prime factors of 61749 are 3, 2287. Prime factorization of 61749 in exponential form is:

61749 = 3³ × 2287¹

Step-3: Factors of 61732

List of positive integer factors of 61732 that divides 61732 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 61, 92, 122, 244, 253, 506, 671, 1012, 1342, 1403, 2684, 2806, 5612, 15433, 30866

Step-4: Factors of 61749

List of positive integer factors of 61749 that divides 61732 without a remainder.

1, 3, 9, 27, 2287, 6861, 20583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61732 and 61749. The biggest common factor number is the GCF number.
So the greatest common factor 61732 and 61749 is 1.

Also check out the Least Common Multiple of 61732 and 61749