What is the Greatest Common Factor of 67992 and 68005?

Greatest common factor (GCF) of 67992 and 68005 is 1.

GCF(67992,68005) = 1

We will now calculate the prime factors of 67992 and 68005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67992 and 68005.

How to find the GCF of 67992 and 68005?

We will first find the prime factorization of 67992 and 68005. After we will calculate the factors of 67992 and 68005 and find the biggest common factor number .

Step-1: Prime Factorization of 67992

Prime factors of 67992 are 2, 3, 2833. Prime factorization of 67992 in exponential form is:

67992 = 2³ × 3¹ × 2833¹

Step-2: Prime Factorization of 68005

Prime factors of 68005 are 5, 7, 29, 67. Prime factorization of 68005 in exponential form is:

68005 = 5¹ × 7¹ × 29¹ × 67¹

Step-3: Factors of 67992

List of positive integer factors of 67992 that divides 67992 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2833, 5666, 8499, 11332, 16998, 22664, 33996

Step-4: Factors of 68005

List of positive integer factors of 68005 that divides 67992 without a remainder.

1, 5, 7, 29, 35, 67, 145, 203, 335, 469, 1015, 1943, 2345, 9715, 13601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67992 and 68005. The biggest common factor number is the GCF number.
So the greatest common factor 67992 and 68005 is 1.

Also check out the Least Common Multiple of 67992 and 68005