What is the Greatest Common Factor of 67074 and 67080?

Greatest common factor (GCF) of 67074 and 67080 is 6.

GCF(67074,67080) = 6

We will now calculate the prime factors of 67074 and 67080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67074 and 67080.

How to find the GCF of 67074 and 67080?

We will first find the prime factorization of 67074 and 67080. After we will calculate the factors of 67074 and 67080 and find the biggest common factor number .

Step-1: Prime Factorization of 67074

Prime factors of 67074 are 2, 3, 7, 1597. Prime factorization of 67074 in exponential form is:

67074 = 2¹ × 3¹ × 7¹ × 1597¹

Step-2: 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-3: Factors of 67074

List of positive integer factors of 67074 that divides 67074 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1597, 3194, 4791, 9582, 11179, 22358, 33537

Step-4: Factors of 67080

List of positive integer factors of 67080 that divides 67074 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67074 and 67080. The biggest common factor number is the GCF number.
So the greatest common factor 67074 and 67080 is 6.

Also check out the Least Common Multiple of 67074 and 67080