What is the Greatest Common Factor of 34545 and 34553?

Greatest common factor (GCF) of 34545 and 34553 is 1.

GCF(34545,34553) = 1

We will now calculate the prime factors of 34545 and 34553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34545 and 34553.

How to find the GCF of 34545 and 34553?

We will first find the prime factorization of 34545 and 34553. After we will calculate the factors of 34545 and 34553 and find the biggest common factor number .

Step-1: Prime Factorization of 34545

Prime factors of 34545 are 3, 5, 7, 47. Prime factorization of 34545 in exponential form is:

34545 = 3¹ × 5¹ × 7² × 47¹

Step-2: Prime Factorization of 34553

Prime factors of 34553 are 109, 317. Prime factorization of 34553 in exponential form is:

34553 = 109¹ × 317¹

Step-3: Factors of 34545

List of positive integer factors of 34545 that divides 34545 without a remainder.

1, 3, 5, 7, 15, 21, 35, 47, 49, 105, 141, 147, 235, 245, 329, 705, 735, 987, 1645, 2303, 4935, 6909, 11515

Step-4: Factors of 34553

List of positive integer factors of 34553 that divides 34545 without a remainder.

1, 109, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34545 and 34553. The biggest common factor number is the GCF number.
So the greatest common factor 34545 and 34553 is 1.

Also check out the Least Common Multiple of 34545 and 34553