What is the Greatest Common Factor of 67890 and 67908?

Greatest common factor (GCF) of 67890 and 67908 is 6.

GCF(67890,67908) = 6

We will now calculate the prime factors of 67890 and 67908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67890 and 67908.

How to find the GCF of 67890 and 67908?

We will first find the prime factorization of 67890 and 67908. After we will calculate the factors of 67890 and 67908 and find the biggest common factor number .

Step-1: Prime Factorization of 67890

Prime factors of 67890 are 2, 3, 5, 31, 73. Prime factorization of 67890 in exponential form is:

67890 = 2¹ × 3¹ × 5¹ × 31¹ × 73¹

Step-2: Prime Factorization of 67908

Prime factors of 67908 are 2, 3, 5659. Prime factorization of 67908 in exponential form is:

67908 = 2² × 3¹ × 5659¹

Step-3: Factors of 67890

List of positive integer factors of 67890 that divides 67890 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 73, 93, 146, 155, 186, 219, 310, 365, 438, 465, 730, 930, 1095, 2190, 2263, 4526, 6789, 11315, 13578, 22630, 33945

Step-4: Factors of 67908

List of positive integer factors of 67908 that divides 67890 without a remainder.

1, 2, 3, 4, 6, 12, 5659, 11318, 16977, 22636, 33954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67890 and 67908. The biggest common factor number is the GCF number.
So the greatest common factor 67890 and 67908 is 6.

Also check out the Least Common Multiple of 67890 and 67908