What is the Greatest Common Factor of 67984 and 67993?

Greatest common factor (GCF) of 67984 and 67993 is 1.

GCF(67984,67993) = 1

We will now calculate the prime factors of 67984 and 67993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67984 and 67993.

How to find the GCF of 67984 and 67993?

We will first find the prime factorization of 67984 and 67993. After we will calculate the factors of 67984 and 67993 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 67993

Prime factors of 67993 are 67993. Prime factorization of 67993 in exponential form is:

67993 = 67993¹

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 67993

List of positive integer factors of 67993 that divides 67984 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67984 and 67993. The biggest common factor number is the GCF number.
So the greatest common factor 67984 and 67993 is 1.

Also check out the Least Common Multiple of 67984 and 67993