What is the Greatest Common Factor of 8944 and 8949?

Greatest common factor (GCF) of 8944 and 8949 is 1.

GCF(8944,8949) = 1

We will now calculate the prime factors of 8944 and 8949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8944 and 8949.

How to find the GCF of 8944 and 8949?

We will first find the prime factorization of 8944 and 8949. After we will calculate the factors of 8944 and 8949 and find the biggest common factor number .

Step-1: Prime Factorization of 8944

Prime factors of 8944 are 2, 13, 43. Prime factorization of 8944 in exponential form is:

8944 = 2⁴ × 13¹ × 43¹

Step-2: Prime Factorization of 8949

Prime factors of 8949 are 3, 19, 157. Prime factorization of 8949 in exponential form is:

8949 = 3¹ × 19¹ × 157¹

Step-3: Factors of 8944

List of positive integer factors of 8944 that divides 8944 without a remainder.

1, 2, 4, 8, 13, 16, 26, 43, 52, 86, 104, 172, 208, 344, 559, 688, 1118, 2236, 4472

Step-4: Factors of 8949

List of positive integer factors of 8949 that divides 8944 without a remainder.

1, 3, 19, 57, 157, 471, 2983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8944 and 8949. The biggest common factor number is the GCF number.
So the greatest common factor 8944 and 8949 is 1.

Also check out the Least Common Multiple of 8944 and 8949