What is the Greatest Common Factor of 19944 and 19951?

Greatest common factor (GCF) of 19944 and 19951 is 1.

GCF(19944,19951) = 1

We will now calculate the prime factors of 19944 and 19951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19944 and 19951.

How to find the GCF of 19944 and 19951?

We will first find the prime factorization of 19944 and 19951. After we will calculate the factors of 19944 and 19951 and find the biggest common factor number .

Step-1: Prime Factorization of 19944

Prime factors of 19944 are 2, 3, 277. Prime factorization of 19944 in exponential form is:

19944 = 2³ × 3² × 277¹

Step-2: Prime Factorization of 19951

Prime factors of 19951 are 71, 281. Prime factorization of 19951 in exponential form is:

19951 = 71¹ × 281¹

Step-3: Factors of 19944

List of positive integer factors of 19944 that divides 19944 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 277, 554, 831, 1108, 1662, 2216, 2493, 3324, 4986, 6648, 9972

Step-4: Factors of 19951

List of positive integer factors of 19951 that divides 19944 without a remainder.

1, 71, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19944 and 19951. The biggest common factor number is the GCF number.
So the greatest common factor 19944 and 19951 is 1.

Also check out the Least Common Multiple of 19944 and 19951