What is the Greatest Common Factor of 71564 and 71583?

Greatest common factor (GCF) of 71564 and 71583 is 1.

GCF(71564,71583) = 1

We will now calculate the prime factors of 71564 and 71583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71564 and 71583.

How to find the GCF of 71564 and 71583?

We will first find the prime factorization of 71564 and 71583. After we will calculate the factors of 71564 and 71583 and find the biggest common factor number .

Step-1: Prime Factorization of 71564

Prime factors of 71564 are 2, 17891. Prime factorization of 71564 in exponential form is:

71564 = 2² × 17891¹

Step-2: Prime Factorization of 71583

Prime factors of 71583 are 3, 107, 223. Prime factorization of 71583 in exponential form is:

71583 = 3¹ × 107¹ × 223¹

Step-3: Factors of 71564

List of positive integer factors of 71564 that divides 71564 without a remainder.

1, 2, 4, 17891, 35782

Step-4: Factors of 71583

List of positive integer factors of 71583 that divides 71564 without a remainder.

1, 3, 107, 223, 321, 669, 23861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71564 and 71583. The biggest common factor number is the GCF number.
So the greatest common factor 71564 and 71583 is 1.

Also check out the Least Common Multiple of 71564 and 71583