What is the Greatest Common Factor of 34544 and 34562?

Greatest common factor (GCF) of 34544 and 34562 is 2.

GCF(34544,34562) = 2

We will now calculate the prime factors of 34544 and 34562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34544 and 34562.

How to find the GCF of 34544 and 34562?

We will first find the prime factorization of 34544 and 34562. After we will calculate the factors of 34544 and 34562 and find the biggest common factor number .

Step-1: Prime Factorization of 34544

Prime factors of 34544 are 2, 17, 127. Prime factorization of 34544 in exponential form is:

34544 = 2⁴ × 17¹ × 127¹

Step-2: 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-3: Factors of 34544

List of positive integer factors of 34544 that divides 34544 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 127, 136, 254, 272, 508, 1016, 2032, 2159, 4318, 8636, 17272

Step-4: Factors of 34562

List of positive integer factors of 34562 that divides 34544 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34544 and 34562. The biggest common factor number is the GCF number.
So the greatest common factor 34544 and 34562 is 2.

Also check out the Least Common Multiple of 34544 and 34562