What is the Greatest Common Factor of 34522 and 34536?

Greatest common factor (GCF) of 34522 and 34536 is 2.

GCF(34522,34536) = 2

We will now calculate the prime factors of 34522 and 34536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34522 and 34536.

How to find the GCF of 34522 and 34536?

We will first find the prime factorization of 34522 and 34536. After we will calculate the factors of 34522 and 34536 and find the biggest common factor number .

Step-1: Prime Factorization of 34522

Prime factors of 34522 are 2, 41, 421. Prime factorization of 34522 in exponential form is:

34522 = 2¹ × 41¹ × 421¹

Step-2: 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-3: Factors of 34522

List of positive integer factors of 34522 that divides 34522 without a remainder.

1, 2, 41, 82, 421, 842, 17261

Step-4: Factors of 34536

List of positive integer factors of 34536 that divides 34522 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34522 and 34536. The biggest common factor number is the GCF number.
So the greatest common factor 34522 and 34536 is 2.

Also check out the Least Common Multiple of 34522 and 34536