What is the Greatest Common Factor of 8949 and 8954?

Greatest common factor (GCF) of 8949 and 8954 is 1.

GCF(8949,8954) = 1

We will now calculate the prime factors of 8949 and 8954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8949 and 8954.

How to find the GCF of 8949 and 8954?

We will first find the prime factorization of 8949 and 8954. After we will calculate the factors of 8949 and 8954 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8954

Prime factors of 8954 are 2, 11, 37. Prime factorization of 8954 in exponential form is:

8954 = 2¹ × 11² × 37¹

Step-3: Factors of 8949

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

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

Step-4: Factors of 8954

List of positive integer factors of 8954 that divides 8949 without a remainder.

1, 2, 11, 22, 37, 74, 121, 242, 407, 814, 4477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8949 and 8954. The biggest common factor number is the GCF number.
So the greatest common factor 8949 and 8954 is 1.

Also check out the Least Common Multiple of 8949 and 8954