What is the Greatest Common Factor of 18944 and 18953?

Greatest common factor (GCF) of 18944 and 18953 is 1.

GCF(18944,18953) = 1

We will now calculate the prime factors of 18944 and 18953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18944 and 18953.

How to find the GCF of 18944 and 18953?

We will first find the prime factorization of 18944 and 18953. After we will calculate the factors of 18944 and 18953 and find the biggest common factor number .

Step-1: Prime Factorization of 18944

Prime factors of 18944 are 2, 37. Prime factorization of 18944 in exponential form is:

18944 = 2⁹ × 37¹

Step-2: Prime Factorization of 18953

Prime factors of 18953 are 11, 1723. Prime factorization of 18953 in exponential form is:

18953 = 11¹ × 1723¹

Step-3: Factors of 18944

List of positive integer factors of 18944 that divides 18944 without a remainder.

1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 256, 296, 512, 592, 1184, 2368, 4736, 9472

Step-4: Factors of 18953

List of positive integer factors of 18953 that divides 18944 without a remainder.

1, 11, 1723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18944 and 18953. The biggest common factor number is the GCF number.
So the greatest common factor 18944 and 18953 is 1.

Also check out the Least Common Multiple of 18944 and 18953