What is the Greatest Common Factor of 83578 and 83589?

Greatest common factor (GCF) of 83578 and 83589 is 11.

GCF(83578,83589) = 11

We will now calculate the prime factors of 83578 and 83589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83578 and 83589.

How to find the GCF of 83578 and 83589?

We will first find the prime factorization of 83578 and 83589. After we will calculate the factors of 83578 and 83589 and find the biggest common factor number .

Step-1: Prime Factorization of 83578

Prime factors of 83578 are 2, 11, 29, 131. Prime factorization of 83578 in exponential form is:

83578 = 2¹ × 11¹ × 29¹ × 131¹

Step-2: Prime Factorization of 83589

Prime factors of 83589 are 3, 11, 17, 149. Prime factorization of 83589 in exponential form is:

83589 = 3¹ × 11¹ × 17¹ × 149¹

Step-3: Factors of 83578

List of positive integer factors of 83578 that divides 83578 without a remainder.

1, 2, 11, 22, 29, 58, 131, 262, 319, 638, 1441, 2882, 3799, 7598, 41789

Step-4: Factors of 83589

List of positive integer factors of 83589 that divides 83578 without a remainder.

1, 3, 11, 17, 33, 51, 149, 187, 447, 561, 1639, 2533, 4917, 7599, 27863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83578 and 83589. The biggest common factor number is the GCF number.
So the greatest common factor 83578 and 83589 is 11.

Also check out the Least Common Multiple of 83578 and 83589