What is the Greatest Common Factor of 67980 and 67999?

Greatest common factor (GCF) of 67980 and 67999 is 1.

GCF(67980,67999) = 1

We will now calculate the prime factors of 67980 and 67999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67980 and 67999.

How to find the GCF of 67980 and 67999?

We will first find the prime factorization of 67980 and 67999. After we will calculate the factors of 67980 and 67999 and find the biggest common factor number .

Step-1: Prime Factorization of 67980

Prime factors of 67980 are 2, 3, 5, 11, 103. Prime factorization of 67980 in exponential form is:

67980 = 2² × 3¹ × 5¹ × 11¹ × 103¹

Step-2: Prime Factorization of 67999

Prime factors of 67999 are 53, 1283. Prime factorization of 67999 in exponential form is:

67999 = 53¹ × 1283¹

Step-3: Factors of 67980

List of positive integer factors of 67980 that divides 67980 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 103, 110, 132, 165, 206, 220, 309, 330, 412, 515, 618, 660, 1030, 1133, 1236, 1545, 2060, 2266, 3090, 3399, 4532, 5665, 6180, 6798, 11330, 13596, 16995, 22660, 33990

Step-4: Factors of 67999

List of positive integer factors of 67999 that divides 67980 without a remainder.

1, 53, 1283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67980 and 67999. The biggest common factor number is the GCF number.
So the greatest common factor 67980 and 67999 is 1.

Also check out the Least Common Multiple of 67980 and 67999