What is the Greatest Common Factor of 67980 and 67992?

Greatest common factor (GCF) of 67980 and 67992 is 12.

GCF(67980,67992) = 12

We will now calculate the prime factors of 67980 and 67992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67980 and 67992.

How to find the GCF of 67980 and 67992?

We will first find the prime factorization of 67980 and 67992. After we will calculate the factors of 67980 and 67992 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 67992

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

67992 = 2³ × 3¹ × 2833¹

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 67992

List of positive integer factors of 67992 that divides 67980 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67980 and 67992. The biggest common factor number is the GCF number.
So the greatest common factor 67980 and 67992 is 12.

Also check out the Least Common Multiple of 67980 and 67992