What is the Greatest Common Factor of 83730 and 83749?

Greatest common factor (GCF) of 83730 and 83749 is 1.

GCF(83730,83749) = 1

We will now calculate the prime factors of 83730 and 83749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83730 and 83749.

How to find the GCF of 83730 and 83749?

We will first find the prime factorization of 83730 and 83749. After we will calculate the factors of 83730 and 83749 and find the biggest common factor number .

Step-1: Prime Factorization of 83730

Prime factors of 83730 are 2, 3, 5, 2791. Prime factorization of 83730 in exponential form is:

83730 = 2¹ × 3¹ × 5¹ × 2791¹

Step-2: Prime Factorization of 83749

Prime factors of 83749 are 89, 941. Prime factorization of 83749 in exponential form is:

83749 = 89¹ × 941¹

Step-3: Factors of 83730

List of positive integer factors of 83730 that divides 83730 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2791, 5582, 8373, 13955, 16746, 27910, 41865

Step-4: Factors of 83749

List of positive integer factors of 83749 that divides 83730 without a remainder.

1, 89, 941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83730 and 83749. The biggest common factor number is the GCF number.
So the greatest common factor 83730 and 83749 is 1.

Also check out the Least Common Multiple of 83730 and 83749