What is the Greatest Common Factor of 8946 and 8964?

Greatest common factor (GCF) of 8946 and 8964 is 18.

GCF(8946,8964) = 18

We will now calculate the prime factors of 8946 and 8964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8946 and 8964.

How to find the GCF of 8946 and 8964?

We will first find the prime factorization of 8946 and 8964. After we will calculate the factors of 8946 and 8964 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 8964

Prime factors of 8964 are 2, 3, 83. Prime factorization of 8964 in exponential form is:

8964 = 2² × 3³ × 83¹

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 8964

List of positive integer factors of 8964 that divides 8946 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 83, 108, 166, 249, 332, 498, 747, 996, 1494, 2241, 2988, 4482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8946 and 8964. The biggest common factor number is the GCF number.
So the greatest common factor 8946 and 8964 is 18.

Also check out the Least Common Multiple of 8946 and 8964