What is the Greatest Common Factor of 8946 and 8965?

Greatest common factor (GCF) of 8946 and 8965 is 1.

GCF(8946,8965) = 1

We will now calculate the prime factors of 8946 and 8965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8946 and 8965.

How to find the GCF of 8946 and 8965?

We will first find the prime factorization of 8946 and 8965. After we will calculate the factors of 8946 and 8965 and find the biggest common factor number .

Step-1: Prime Factorization of 8946

Prime factors of 8946 are 2, 3, 7, 71. Prime factorization of 8946 in exponential form is:

8946 = 2¹ × 3² × 7¹ × 71¹

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 8946

List of positive integer factors of 8946 that divides 8946 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 71, 126, 142, 213, 426, 497, 639, 994, 1278, 1491, 2982, 4473

Step-4: Factors of 8965

List of positive integer factors of 8965 that divides 8946 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8946 and 8965. The biggest common factor number is the GCF number.
So the greatest common factor 8946 and 8965 is 1.

Also check out the Least Common Multiple of 8946 and 8965