What is the Greatest Common Factor of 9926 and 9940?

Greatest common factor (GCF) of 9926 and 9940 is 14.

GCF(9926,9940) = 14

We will now calculate the prime factors of 9926 and 9940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9926 and 9940.

How to find the GCF of 9926 and 9940?

We will first find the prime factorization of 9926 and 9940. After we will calculate the factors of 9926 and 9940 and find the biggest common factor number .

Step-1: Prime Factorization of 9926

Prime factors of 9926 are 2, 7, 709. Prime factorization of 9926 in exponential form is:

9926 = 2¹ × 7¹ × 709¹

Step-2: Prime Factorization of 9940

Prime factors of 9940 are 2, 5, 7, 71. Prime factorization of 9940 in exponential form is:

9940 = 2² × 5¹ × 7¹ × 71¹

Step-3: Factors of 9926

List of positive integer factors of 9926 that divides 9926 without a remainder.

1, 2, 7, 14, 709, 1418, 4963

Step-4: Factors of 9940

List of positive integer factors of 9940 that divides 9926 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9926 and 9940. The biggest common factor number is the GCF number.
So the greatest common factor 9926 and 9940 is 14.

Also check out the Least Common Multiple of 9926 and 9940