What is the Greatest Common Factor of 9974 and 9994?

Greatest common factor (GCF) of 9974 and 9994 is 2.

GCF(9974,9994) = 2

We will now calculate the prime factors of 9974 and 9994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9974 and 9994.

How to find the GCF of 9974 and 9994?

We will first find the prime factorization of 9974 and 9994. After we will calculate the factors of 9974 and 9994 and find the biggest common factor number .

Step-1: Prime Factorization of 9974

Prime factors of 9974 are 2, 4987. Prime factorization of 9974 in exponential form is:

9974 = 2¹ × 4987¹

Step-2: Prime Factorization of 9994

Prime factors of 9994 are 2, 19, 263. Prime factorization of 9994 in exponential form is:

9994 = 2¹ × 19¹ × 263¹

Step-3: Factors of 9974

List of positive integer factors of 9974 that divides 9974 without a remainder.

1, 2, 4987

Step-4: Factors of 9994

List of positive integer factors of 9994 that divides 9974 without a remainder.

1, 2, 19, 38, 263, 526, 4997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9974 and 9994. The biggest common factor number is the GCF number.
So the greatest common factor 9974 and 9994 is 2.

Also check out the Least Common Multiple of 9974 and 9994