What is the Greatest Common Factor of 67578 and 67582?

Greatest common factor (GCF) of 67578 and 67582 is 2.

GCF(67578,67582) = 2

We will now calculate the prime factors of 67578 and 67582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67578 and 67582.

How to find the GCF of 67578 and 67582?

We will first find the prime factorization of 67578 and 67582. After we will calculate the factors of 67578 and 67582 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67582

Prime factors of 67582 are 2, 33791. Prime factorization of 67582 in exponential form is:

67582 = 2¹ × 33791¹

Step-3: Factors of 67578

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

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

Step-4: Factors of 67582

List of positive integer factors of 67582 that divides 67578 without a remainder.

1, 2, 33791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67578 and 67582. The biggest common factor number is the GCF number.
So the greatest common factor 67578 and 67582 is 2.

Also check out the Least Common Multiple of 67578 and 67582