What is the Greatest Common Factor of 67984 and 67991?

Greatest common factor (GCF) of 67984 and 67991 is 7.

GCF(67984,67991) = 7

We will now calculate the prime factors of 67984 and 67991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67984 and 67991.

How to find the GCF of 67984 and 67991?

We will first find the prime factorization of 67984 and 67991. After we will calculate the factors of 67984 and 67991 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 67991

Prime factors of 67991 are 7, 11, 883. Prime factorization of 67991 in exponential form is:

67991 = 7¹ × 11¹ × 883¹

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 67991

List of positive integer factors of 67991 that divides 67984 without a remainder.

1, 7, 11, 77, 883, 6181, 9713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67984 and 67991. The biggest common factor number is the GCF number.
So the greatest common factor 67984 and 67991 is 7.

Also check out the Least Common Multiple of 67984 and 67991