What is the Greatest Common Factor of 61749 and 61766?

Greatest common factor (GCF) of 61749 and 61766 is 1.

GCF(61749,61766) = 1

We will now calculate the prime factors of 61749 and 61766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61749 and 61766.

How to find the GCF of 61749 and 61766?

We will first find the prime factorization of 61749 and 61766. After we will calculate the factors of 61749 and 61766 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 61766

Prime factors of 61766 are 2, 89, 347. Prime factorization of 61766 in exponential form is:

61766 = 2¹ × 89¹ × 347¹

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 61766

List of positive integer factors of 61766 that divides 61749 without a remainder.

1, 2, 89, 178, 347, 694, 30883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61749 and 61766. The biggest common factor number is the GCF number.
So the greatest common factor 61749 and 61766 is 1.

Also check out the Least Common Multiple of 61749 and 61766