What is the Greatest Common Factor of 83564 and 83577?

Greatest common factor (GCF) of 83564 and 83577 is 13.

GCF(83564,83577) = 13

We will now calculate the prime factors of 83564 and 83577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83564 and 83577.

How to find the GCF of 83564 and 83577?

We will first find the prime factorization of 83564 and 83577. After we will calculate the factors of 83564 and 83577 and find the biggest common factor number .

Step-1: Prime Factorization of 83564

Prime factors of 83564 are 2, 13, 1607. Prime factorization of 83564 in exponential form is:

83564 = 2² × 13¹ × 1607¹

Step-2: Prime Factorization of 83577

Prime factors of 83577 are 3, 13, 2143. Prime factorization of 83577 in exponential form is:

83577 = 3¹ × 13¹ × 2143¹

Step-3: Factors of 83564

List of positive integer factors of 83564 that divides 83564 without a remainder.

1, 2, 4, 13, 26, 52, 1607, 3214, 6428, 20891, 41782

Step-4: Factors of 83577

List of positive integer factors of 83577 that divides 83564 without a remainder.

1, 3, 13, 39, 2143, 6429, 27859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83564 and 83577. The biggest common factor number is the GCF number.
So the greatest common factor 83564 and 83577 is 13.

Also check out the Least Common Multiple of 83564 and 83577