What is the Greatest Common Factor of 96984 and 96998?

Greatest common factor (GCF) of 96984 and 96998 is 2.

GCF(96984,96998) = 2

We will now calculate the prime factors of 96984 and 96998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96984 and 96998.

How to find the GCF of 96984 and 96998?

We will first find the prime factorization of 96984 and 96998. After we will calculate the factors of 96984 and 96998 and find the biggest common factor number .

Step-1: Prime Factorization of 96984

Prime factors of 96984 are 2, 3, 449. Prime factorization of 96984 in exponential form is:

96984 = 2³ × 3³ × 449¹

Step-2: Prime Factorization of 96998

Prime factors of 96998 are 2, 11, 4409. Prime factorization of 96998 in exponential form is:

96998 = 2¹ × 11¹ × 4409¹

Step-3: Factors of 96984

List of positive integer factors of 96984 that divides 96984 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 449, 898, 1347, 1796, 2694, 3592, 4041, 5388, 8082, 10776, 12123, 16164, 24246, 32328, 48492

Step-4: Factors of 96998

List of positive integer factors of 96998 that divides 96984 without a remainder.

1, 2, 11, 22, 4409, 8818, 48499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96984 and 96998. The biggest common factor number is the GCF number.
So the greatest common factor 96984 and 96998 is 2.

Also check out the Least Common Multiple of 96984 and 96998