What is the Greatest Common Factor of 8954 and 8963?

Greatest common factor (GCF) of 8954 and 8963 is 1.

GCF(8954,8963) = 1

We will now calculate the prime factors of 8954 and 8963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8954 and 8963.

How to find the GCF of 8954 and 8963?

We will first find the prime factorization of 8954 and 8963. After we will calculate the factors of 8954 and 8963 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8963

Prime factors of 8963 are 8963. Prime factorization of 8963 in exponential form is:

8963 = 8963¹

Step-3: Factors of 8954

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

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

Step-4: Factors of 8963

List of positive integer factors of 8963 that divides 8954 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8954 and 8963. The biggest common factor number is the GCF number.
So the greatest common factor 8954 and 8963 is 1.

Also check out the Least Common Multiple of 8954 and 8963