What is the Greatest Common Factor of 67540 and 67554?

Greatest common factor (GCF) of 67540 and 67554 is 2.

GCF(67540,67554) = 2

We will now calculate the prime factors of 67540 and 67554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67540 and 67554.

How to find the GCF of 67540 and 67554?

We will first find the prime factorization of 67540 and 67554. After we will calculate the factors of 67540 and 67554 and find the biggest common factor number .

Step-1: Prime Factorization of 67540

Prime factors of 67540 are 2, 5, 11, 307. Prime factorization of 67540 in exponential form is:

67540 = 2² × 5¹ × 11¹ × 307¹

Step-2: Prime Factorization of 67554

Prime factors of 67554 are 2, 3, 139. Prime factorization of 67554 in exponential form is:

67554 = 2¹ × 3⁵ × 139¹

Step-3: Factors of 67540

List of positive integer factors of 67540 that divides 67540 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 307, 614, 1228, 1535, 3070, 3377, 6140, 6754, 13508, 16885, 33770

Step-4: Factors of 67554

List of positive integer factors of 67554 that divides 67540 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 139, 162, 243, 278, 417, 486, 834, 1251, 2502, 3753, 7506, 11259, 22518, 33777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67540 and 67554. The biggest common factor number is the GCF number.
So the greatest common factor 67540 and 67554 is 2.

Also check out the Least Common Multiple of 67540 and 67554