What is the Greatest Common Factor of 34562 and 34573?

Greatest common factor (GCF) of 34562 and 34573 is 11.

GCF(34562,34573) = 11

We will now calculate the prime factors of 34562 and 34573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34562 and 34573.

How to find the GCF of 34562 and 34573?

We will first find the prime factorization of 34562 and 34573. After we will calculate the factors of 34562 and 34573 and find the biggest common factor number .

Step-1: Prime Factorization of 34562

Prime factors of 34562 are 2, 11, 1571. Prime factorization of 34562 in exponential form is:

34562 = 2¹ × 11¹ × 1571¹

Step-2: Prime Factorization of 34573

Prime factors of 34573 are 7, 11, 449. Prime factorization of 34573 in exponential form is:

34573 = 7¹ × 11¹ × 449¹

Step-3: Factors of 34562

List of positive integer factors of 34562 that divides 34562 without a remainder.

1, 2, 11, 22, 1571, 3142, 17281

Step-4: Factors of 34573

List of positive integer factors of 34573 that divides 34562 without a remainder.

1, 7, 11, 77, 449, 3143, 4939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34562 and 34573. The biggest common factor number is the GCF number.
So the greatest common factor 34562 and 34573 is 11.

Also check out the Least Common Multiple of 34562 and 34573