What is the Greatest Common Factor of 67540 and 67559?

Greatest common factor (GCF) of 67540 and 67559 is 1.

GCF(67540,67559) = 1

We will now calculate the prime factors of 67540 and 67559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67540 and 67559.

How to find the GCF of 67540 and 67559?

We will first find the prime factorization of 67540 and 67559. After we will calculate the factors of 67540 and 67559 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 67559

Prime factors of 67559 are 67559. Prime factorization of 67559 in exponential form is:

67559 = 67559¹

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 67559

List of positive integer factors of 67559 that divides 67540 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67540 and 67559. The biggest common factor number is the GCF number.
So the greatest common factor 67540 and 67559 is 1.

Also check out the Least Common Multiple of 67540 and 67559