What is the Greatest Common Factor of 40944 and 40949?

Greatest common factor (GCF) of 40944 and 40949 is 1.

GCF(40944,40949) = 1

We will now calculate the prime factors of 40944 and 40949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40944 and 40949.

How to find the GCF of 40944 and 40949?

We will first find the prime factorization of 40944 and 40949. After we will calculate the factors of 40944 and 40949 and find the biggest common factor number .

Step-1: Prime Factorization of 40944

Prime factors of 40944 are 2, 3, 853. Prime factorization of 40944 in exponential form is:

40944 = 2⁴ × 3¹ × 853¹

Step-2: Prime Factorization of 40949

Prime factors of 40949 are 40949. Prime factorization of 40949 in exponential form is:

40949 = 40949¹

Step-3: Factors of 40944

List of positive integer factors of 40944 that divides 40944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 853, 1706, 2559, 3412, 5118, 6824, 10236, 13648, 20472

Step-4: Factors of 40949

List of positive integer factors of 40949 that divides 40944 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40944 and 40949. The biggest common factor number is the GCF number.
So the greatest common factor 40944 and 40949 is 1.

Also check out the Least Common Multiple of 40944 and 40949