What is the Greatest Common Factor of 61749 and 61756?

Greatest common factor (GCF) of 61749 and 61756 is 1.

GCF(61749,61756) = 1

We will now calculate the prime factors of 61749 and 61756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61749 and 61756.

How to find the GCF of 61749 and 61756?

We will first find the prime factorization of 61749 and 61756. After we will calculate the factors of 61749 and 61756 and find the biggest common factor number .

Step-1: Prime Factorization of 61749

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

61749 = 3³ × 2287¹

Step-2: Prime Factorization of 61756

Prime factors of 61756 are 2, 15439. Prime factorization of 61756 in exponential form is:

61756 = 2² × 15439¹

Step-3: Factors of 61749

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

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

Step-4: Factors of 61756

List of positive integer factors of 61756 that divides 61749 without a remainder.

1, 2, 4, 15439, 30878

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61749 and 61756. The biggest common factor number is the GCF number.
So the greatest common factor 61749 and 61756 is 1.

Also check out the Least Common Multiple of 61749 and 61756