What is the Greatest Common Factor of 71562 and 71573?

Greatest common factor (GCF) of 71562 and 71573 is 1.

GCF(71562,71573) = 1

We will now calculate the prime factors of 71562 and 71573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71562 and 71573.

How to find the GCF of 71562 and 71573?

We will first find the prime factorization of 71562 and 71573. After we will calculate the factors of 71562 and 71573 and find the biggest common factor number .

Step-1: Prime Factorization of 71562

Prime factors of 71562 are 2, 3, 11927. Prime factorization of 71562 in exponential form is:

71562 = 2¹ × 3¹ × 11927¹

Step-2: Prime Factorization of 71573

Prime factors of 71573 are 19, 3767. Prime factorization of 71573 in exponential form is:

71573 = 19¹ × 3767¹

Step-3: Factors of 71562

List of positive integer factors of 71562 that divides 71562 without a remainder.

1, 2, 3, 6, 11927, 23854, 35781

Step-4: Factors of 71573

List of positive integer factors of 71573 that divides 71562 without a remainder.

1, 19, 3767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71562 and 71573. The biggest common factor number is the GCF number.
So the greatest common factor 71562 and 71573 is 1.

Also check out the Least Common Multiple of 71562 and 71573