What is the Greatest Common Factor of 67080 and 67090?

Greatest common factor (GCF) of 67080 and 67090 is 10.

GCF(67080,67090) = 10

We will now calculate the prime factors of 67080 and 67090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67080 and 67090.

How to find the GCF of 67080 and 67090?

We will first find the prime factorization of 67080 and 67090. After we will calculate the factors of 67080 and 67090 and find the biggest common factor number .

Step-1: Prime Factorization of 67080

Prime factors of 67080 are 2, 3, 5, 13, 43. Prime factorization of 67080 in exponential form is:

67080 = 2³ × 3¹ × 5¹ × 13¹ × 43¹

Step-2: Prime Factorization of 67090

Prime factors of 67090 are 2, 5, 6709. Prime factorization of 67090 in exponential form is:

67090 = 2¹ × 5¹ × 6709¹

Step-3: Factors of 67080

List of positive integer factors of 67080 that divides 67080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 43, 52, 60, 65, 78, 86, 104, 120, 129, 130, 156, 172, 195, 215, 258, 260, 312, 344, 390, 430, 516, 520, 559, 645, 780, 860, 1032, 1118, 1290, 1560, 1677, 1720, 2236, 2580, 2795, 3354, 4472, 5160, 5590, 6708, 8385, 11180, 13416, 16770, 22360, 33540

Step-4: Factors of 67090

List of positive integer factors of 67090 that divides 67080 without a remainder.

1, 2, 5, 10, 6709, 13418, 33545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67080 and 67090. The biggest common factor number is the GCF number.
So the greatest common factor 67080 and 67090 is 10.

Also check out the Least Common Multiple of 67080 and 67090