What is the Greatest Common Factor of 8954 and 8965?

Greatest common factor (GCF) of 8954 and 8965 is 11.

GCF(8954,8965) = 11

We will now calculate the prime factors of 8954 and 8965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8954 and 8965.

How to find the GCF of 8954 and 8965?

We will first find the prime factorization of 8954 and 8965. After we will calculate the factors of 8954 and 8965 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 8965

Prime factors of 8965 are 5, 11, 163. Prime factorization of 8965 in exponential form is:

8965 = 5¹ × 11¹ × 163¹

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 8965

List of positive integer factors of 8965 that divides 8954 without a remainder.

1, 5, 11, 55, 163, 815, 1793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8954 and 8965. The biggest common factor number is the GCF number.
So the greatest common factor 8954 and 8965 is 11.

Also check out the Least Common Multiple of 8954 and 8965