What is the Greatest Common Factor of 67560 and 67578?

Greatest common factor (GCF) of 67560 and 67578 is 6.

GCF(67560,67578) = 6

We will now calculate the prime factors of 67560 and 67578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67560 and 67578.

How to find the GCF of 67560 and 67578?

We will first find the prime factorization of 67560 and 67578. After we will calculate the factors of 67560 and 67578 and find the biggest common factor number .

Step-1: Prime Factorization of 67560

Prime factors of 67560 are 2, 3, 5, 563. Prime factorization of 67560 in exponential form is:

67560 = 2³ × 3¹ × 5¹ × 563¹

Step-2: Prime Factorization of 67578

Prime factors of 67578 are 2, 3, 7, 1609. Prime factorization of 67578 in exponential form is:

67578 = 2¹ × 3¹ × 7¹ × 1609¹

Step-3: Factors of 67560

List of positive integer factors of 67560 that divides 67560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 563, 1126, 1689, 2252, 2815, 3378, 4504, 5630, 6756, 8445, 11260, 13512, 16890, 22520, 33780

Step-4: Factors of 67578

List of positive integer factors of 67578 that divides 67560 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1609, 3218, 4827, 9654, 11263, 22526, 33789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67560 and 67578. The biggest common factor number is the GCF number.
So the greatest common factor 67560 and 67578 is 6.

Also check out the Least Common Multiple of 67560 and 67578