What is the Greatest Common Factor of 67991 and 68002?

Greatest common factor (GCF) of 67991 and 68002 is 11.

GCF(67991,68002) = 11

We will now calculate the prime factors of 67991 and 68002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67991 and 68002.

How to find the GCF of 67991 and 68002?

We will first find the prime factorization of 67991 and 68002. After we will calculate the factors of 67991 and 68002 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68002

Prime factors of 68002 are 2, 11, 281. Prime factorization of 68002 in exponential form is:

68002 = 2¹ × 11² × 281¹

Step-3: Factors of 67991

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

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

Step-4: Factors of 68002

List of positive integer factors of 68002 that divides 67991 without a remainder.

1, 2, 11, 22, 121, 242, 281, 562, 3091, 6182, 34001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67991 and 68002. The biggest common factor number is the GCF number.
So the greatest common factor 67991 and 68002 is 11.

Also check out the Least Common Multiple of 67991 and 68002