What is the Greatest Common Factor of 78084 and 78090?

Greatest common factor (GCF) of 78084 and 78090 is 6.

GCF(78084,78090) = 6

We will now calculate the prime factors of 78084 and 78090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78084 and 78090.

How to find the GCF of 78084 and 78090?

We will first find the prime factorization of 78084 and 78090. After we will calculate the factors of 78084 and 78090 and find the biggest common factor number .

Step-1: Prime Factorization of 78084

Prime factors of 78084 are 2, 3, 241. Prime factorization of 78084 in exponential form is:

78084 = 2² × 3⁴ × 241¹

Step-2: Prime Factorization of 78090

Prime factors of 78090 are 2, 3, 5, 19, 137. Prime factorization of 78090 in exponential form is:

78090 = 2¹ × 3¹ × 5¹ × 19¹ × 137¹

Step-3: Factors of 78084

List of positive integer factors of 78084 that divides 78084 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 241, 324, 482, 723, 964, 1446, 2169, 2892, 4338, 6507, 8676, 13014, 19521, 26028, 39042

Step-4: Factors of 78090

List of positive integer factors of 78090 that divides 78084 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 137, 190, 274, 285, 411, 570, 685, 822, 1370, 2055, 2603, 4110, 5206, 7809, 13015, 15618, 26030, 39045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78084 and 78090. The biggest common factor number is the GCF number.
So the greatest common factor 78084 and 78090 is 6.

Also check out the Least Common Multiple of 78084 and 78090