What is the Greatest Common Factor of 67984 and 68003?

Greatest common factor (GCF) of 67984 and 68003 is 1.

GCF(67984,68003) = 1

We will now calculate the prime factors of 67984 and 68003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67984 and 68003.

How to find the GCF of 67984 and 68003?

We will first find the prime factorization of 67984 and 68003. After we will calculate the factors of 67984 and 68003 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 68003

Prime factors of 68003 are 13, 5231. Prime factorization of 68003 in exponential form is:

68003 = 13¹ × 5231¹

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 68003

List of positive integer factors of 68003 that divides 67984 without a remainder.

1, 13, 5231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67984 and 68003. The biggest common factor number is the GCF number.
So the greatest common factor 67984 and 68003 is 1.

Also check out the Least Common Multiple of 67984 and 68003