What is the Greatest Common Factor of 8927 and 8946?

Greatest common factor (GCF) of 8927 and 8946 is 1.

GCF(8927,8946) = 1

We will now calculate the prime factors of 8927 and 8946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8927 and 8946.

How to find the GCF of 8927 and 8946?

We will first find the prime factorization of 8927 and 8946. After we will calculate the factors of 8927 and 8946 and find the biggest common factor number .

Step-1: Prime Factorization of 8927

Prime factors of 8927 are 79, 113. Prime factorization of 8927 in exponential form is:

8927 = 79¹ × 113¹

Step-2: 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-3: Factors of 8927

List of positive integer factors of 8927 that divides 8927 without a remainder.

1, 79, 113

Step-4: Factors of 8946

List of positive integer factors of 8946 that divides 8927 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8927 and 8946. The biggest common factor number is the GCF number.
So the greatest common factor 8927 and 8946 is 1.

Also check out the Least Common Multiple of 8927 and 8946