What is the Greatest Common Factor of 9976 and 9995?

Greatest common factor (GCF) of 9976 and 9995 is 1.

GCF(9976,9995) = 1

We will now calculate the prime factors of 9976 and 9995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9976 and 9995.

How to find the GCF of 9976 and 9995?

We will first find the prime factorization of 9976 and 9995. After we will calculate the factors of 9976 and 9995 and find the biggest common factor number .

Step-1: Prime Factorization of 9976

Prime factors of 9976 are 2, 29, 43. Prime factorization of 9976 in exponential form is:

9976 = 2³ × 29¹ × 43¹

Step-2: Prime Factorization of 9995

Prime factors of 9995 are 5, 1999. Prime factorization of 9995 in exponential form is:

9995 = 5¹ × 1999¹

Step-3: Factors of 9976

List of positive integer factors of 9976 that divides 9976 without a remainder.

1, 2, 4, 8, 29, 43, 58, 86, 116, 172, 232, 344, 1247, 2494, 4988

Step-4: Factors of 9995

List of positive integer factors of 9995 that divides 9976 without a remainder.

1, 5, 1999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9976 and 9995. The biggest common factor number is the GCF number.
So the greatest common factor 9976 and 9995 is 1.

Also check out the Least Common Multiple of 9976 and 9995