What is the Greatest Common Factor of 35564 and 35581?

Greatest common factor (GCF) of 35564 and 35581 is 17.

GCF(35564,35581) = 17

We will now calculate the prime factors of 35564 and 35581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35564 and 35581.

How to find the GCF of 35564 and 35581?

We will first find the prime factorization of 35564 and 35581. After we will calculate the factors of 35564 and 35581 and find the biggest common factor number .

Step-1: Prime Factorization of 35564

Prime factors of 35564 are 2, 17, 523. Prime factorization of 35564 in exponential form is:

35564 = 2² × 17¹ × 523¹

Step-2: Prime Factorization of 35581

Prime factors of 35581 are 7, 13, 17, 23. Prime factorization of 35581 in exponential form is:

35581 = 7¹ × 13¹ × 17¹ × 23¹

Step-3: Factors of 35564

List of positive integer factors of 35564 that divides 35564 without a remainder.

1, 2, 4, 17, 34, 68, 523, 1046, 2092, 8891, 17782

Step-4: Factors of 35581

List of positive integer factors of 35581 that divides 35564 without a remainder.

1, 7, 13, 17, 23, 91, 119, 161, 221, 299, 391, 1547, 2093, 2737, 5083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35564 and 35581. The biggest common factor number is the GCF number.
So the greatest common factor 35564 and 35581 is 17.

Also check out the Least Common Multiple of 35564 and 35581