What is the Greatest Common Factor of 67569 and 67580?

Greatest common factor (GCF) of 67569 and 67580 is 1.

GCF(67569,67580) = 1

We will now calculate the prime factors of 67569 and 67580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67569 and 67580.

How to find the GCF of 67569 and 67580?

We will first find the prime factorization of 67569 and 67580. After we will calculate the factors of 67569 and 67580 and find the biggest common factor number .

Step-1: Prime Factorization of 67569

Prime factors of 67569 are 3, 101, 223. Prime factorization of 67569 in exponential form is:

67569 = 3¹ × 101¹ × 223¹

Step-2: Prime Factorization of 67580

Prime factors of 67580 are 2, 5, 31, 109. Prime factorization of 67580 in exponential form is:

67580 = 2² × 5¹ × 31¹ × 109¹

Step-3: Factors of 67569

List of positive integer factors of 67569 that divides 67569 without a remainder.

1, 3, 101, 223, 303, 669, 22523

Step-4: Factors of 67580

List of positive integer factors of 67580 that divides 67569 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 109, 124, 155, 218, 310, 436, 545, 620, 1090, 2180, 3379, 6758, 13516, 16895, 33790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67569 and 67580. The biggest common factor number is the GCF number.
So the greatest common factor 67569 and 67580 is 1.

Also check out the Least Common Multiple of 67569 and 67580