What is the Greatest Common Factor of 34544 and 34550?

Greatest common factor (GCF) of 34544 and 34550 is 2.

GCF(34544,34550) = 2

We will now calculate the prime factors of 34544 and 34550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34544 and 34550.

How to find the GCF of 34544 and 34550?

We will first find the prime factorization of 34544 and 34550. After we will calculate the factors of 34544 and 34550 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 34550

Prime factors of 34550 are 2, 5, 691. Prime factorization of 34550 in exponential form is:

34550 = 2¹ × 5² × 691¹

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 34550

List of positive integer factors of 34550 that divides 34544 without a remainder.

1, 2, 5, 10, 25, 50, 691, 1382, 3455, 6910, 17275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34544 and 34550. The biggest common factor number is the GCF number.
So the greatest common factor 34544 and 34550 is 2.

Also check out the Least Common Multiple of 34544 and 34550