What is the Greatest Common Factor of 11984 and 11998?

Greatest common factor (GCF) of 11984 and 11998 is 14.

GCF(11984,11998) = 14

We will now calculate the prime factors of 11984 and 11998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11984 and 11998.

How to find the GCF of 11984 and 11998?

We will first find the prime factorization of 11984 and 11998. After we will calculate the factors of 11984 and 11998 and find the biggest common factor number .

Step-1: Prime Factorization of 11984

Prime factors of 11984 are 2, 7, 107. Prime factorization of 11984 in exponential form is:

11984 = 2⁴ × 7¹ × 107¹

Step-2: Prime Factorization of 11998

Prime factors of 11998 are 2, 7, 857. Prime factorization of 11998 in exponential form is:

11998 = 2¹ × 7¹ × 857¹

Step-3: Factors of 11984

List of positive integer factors of 11984 that divides 11984 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 107, 112, 214, 428, 749, 856, 1498, 1712, 2996, 5992

Step-4: Factors of 11998

List of positive integer factors of 11998 that divides 11984 without a remainder.

1, 2, 7, 14, 857, 1714, 5999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11984 and 11998. The biggest common factor number is the GCF number.
So the greatest common factor 11984 and 11998 is 14.

Also check out the Least Common Multiple of 11984 and 11998