What is the Greatest Common Factor of 18736 and 18749?

Greatest common factor (GCF) of 18736 and 18749 is 1.

GCF(18736,18749) = 1

We will now calculate the prime factors of 18736 and 18749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18736 and 18749.

How to find the GCF of 18736 and 18749?

We will first find the prime factorization of 18736 and 18749. After we will calculate the factors of 18736 and 18749 and find the biggest common factor number .

Step-1: Prime Factorization of 18736

Prime factors of 18736 are 2, 1171. Prime factorization of 18736 in exponential form is:

18736 = 2⁴ × 1171¹

Step-2: Prime Factorization of 18749

Prime factors of 18749 are 18749. Prime factorization of 18749 in exponential form is:

18749 = 18749¹

Step-3: Factors of 18736

List of positive integer factors of 18736 that divides 18736 without a remainder.

1, 2, 4, 8, 16, 1171, 2342, 4684, 9368

Step-4: Factors of 18749

List of positive integer factors of 18749 that divides 18736 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18736 and 18749. The biggest common factor number is the GCF number.
So the greatest common factor 18736 and 18749 is 1.

Also check out the Least Common Multiple of 18736 and 18749