What is the Greatest Common Factor of 67984 and 67998?

Greatest common factor (GCF) of 67984 and 67998 is 14.

GCF(67984,67998) = 14

We will now calculate the prime factors of 67984 and 67998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67984 and 67998.

How to find the GCF of 67984 and 67998?

We will first find the prime factorization of 67984 and 67998. After we will calculate the factors of 67984 and 67998 and find the biggest common factor number .

Step-1: Prime Factorization of 67984

Prime factors of 67984 are 2, 7, 607. Prime factorization of 67984 in exponential form is:

67984 = 2⁴ × 7¹ × 607¹

Step-2: Prime Factorization of 67998

Prime factors of 67998 are 2, 3, 7, 1619. Prime factorization of 67998 in exponential form is:

67998 = 2¹ × 3¹ × 7¹ × 1619¹

Step-3: Factors of 67984

List of positive integer factors of 67984 that divides 67984 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 607, 1214, 2428, 4249, 4856, 8498, 9712, 16996, 33992

Step-4: Factors of 67998

List of positive integer factors of 67998 that divides 67984 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1619, 3238, 4857, 9714, 11333, 22666, 33999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67984 and 67998. The biggest common factor number is the GCF number.
So the greatest common factor 67984 and 67998 is 14.

Also check out the Least Common Multiple of 67984 and 67998