What is the Greatest Common Factor of 34536 and 34544?

Greatest common factor (GCF) of 34536 and 34544 is 8.

GCF(34536,34544) = 8

We will now calculate the prime factors of 34536 and 34544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34536 and 34544.

How to find the GCF of 34536 and 34544?

We will first find the prime factorization of 34536 and 34544. After we will calculate the factors of 34536 and 34544 and find the biggest common factor number .

Step-1: Prime Factorization of 34536

Prime factors of 34536 are 2, 3, 1439. Prime factorization of 34536 in exponential form is:

34536 = 2³ × 3¹ × 1439¹

Step-2: 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-3: Factors of 34536

List of positive integer factors of 34536 that divides 34536 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1439, 2878, 4317, 5756, 8634, 11512, 17268

Step-4: Factors of 34544

List of positive integer factors of 34544 that divides 34536 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34536 and 34544. The biggest common factor number is the GCF number.
So the greatest common factor 34536 and 34544 is 8.

Also check out the Least Common Multiple of 34536 and 34544