What is the Greatest Common Factor of 67984 and 68001?

Greatest common factor (GCF) of 67984 and 68001 is 1.

GCF(67984,68001) = 1

We will now calculate the prime factors of 67984 and 68001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67984 and 68001.

How to find the GCF of 67984 and 68001?

We will first find the prime factorization of 67984 and 68001. After we will calculate the factors of 67984 and 68001 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 68001

Prime factors of 68001 are 3, 19, 1193. Prime factorization of 68001 in exponential form is:

68001 = 3¹ × 19¹ × 1193¹

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 68001

List of positive integer factors of 68001 that divides 67984 without a remainder.

1, 3, 19, 57, 1193, 3579, 22667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67984 and 68001. The biggest common factor number is the GCF number.
So the greatest common factor 67984 and 68001 is 1.

Also check out the Least Common Multiple of 67984 and 68001