What is the Greatest Common Factor of 67980 and 67998?

Greatest common factor (GCF) of 67980 and 67998 is 6.

GCF(67980,67998) = 6

We will now calculate the prime factors of 67980 and 67998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67980 and 67998.

How to find the GCF of 67980 and 67998?

We will first find the prime factorization of 67980 and 67998. After we will calculate the factors of 67980 and 67998 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 67998

Prime factors of 67998 are 2, 3, 7, 1619. Prime factorization of 67998 in exponential form is:

67998 = 2¹ × 3¹ × 7¹ × 1619¹

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 67998

List of positive integer factors of 67998 that divides 67980 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1619, 3238, 4857, 9714, 11333, 22666, 33999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67980 and 67998. The biggest common factor number is the GCF number.
So the greatest common factor 67980 and 67998 is 6.

Also check out the Least Common Multiple of 67980 and 67998