What is the Greatest Common Factor of 9940 and 9958?

Greatest common factor (GCF) of 9940 and 9958 is 2.

GCF(9940,9958) = 2

We will now calculate the prime factors of 9940 and 9958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9940 and 9958.

How to find the GCF of 9940 and 9958?

We will first find the prime factorization of 9940 and 9958. After we will calculate the factors of 9940 and 9958 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9958

Prime factors of 9958 are 2, 13, 383. Prime factorization of 9958 in exponential form is:

9958 = 2¹ × 13¹ × 383¹

Step-3: Factors of 9940

List of positive integer factors of 9940 that divides 9940 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

Step-4: Factors of 9958

List of positive integer factors of 9958 that divides 9940 without a remainder.

1, 2, 13, 26, 383, 766, 4979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9940 and 9958. The biggest common factor number is the GCF number.
So the greatest common factor 9940 and 9958 is 2.

Also check out the Least Common Multiple of 9940 and 9958