What is the Greatest Common Factor of 38523 and 38533?

Greatest common factor (GCF) of 38523 and 38533 is 1.

GCF(38523,38533) = 1

We will now calculate the prime factors of 38523 and 38533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38523 and 38533.

How to find the GCF of 38523 and 38533?

We will first find the prime factorization of 38523 and 38533. After we will calculate the factors of 38523 and 38533 and find the biggest common factor number .

Step-1: Prime Factorization of 38523

Prime factors of 38523 are 3, 12841. Prime factorization of 38523 in exponential form is:

38523 = 3¹ × 12841¹

Step-2: Prime Factorization of 38533

Prime factors of 38533 are 11, 31, 113. Prime factorization of 38533 in exponential form is:

38533 = 11¹ × 31¹ × 113¹

Step-3: Factors of 38523

List of positive integer factors of 38523 that divides 38523 without a remainder.

1, 3, 12841

Step-4: Factors of 38533

List of positive integer factors of 38533 that divides 38523 without a remainder.

1, 11, 31, 113, 341, 1243, 3503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38523 and 38533. The biggest common factor number is the GCF number.
So the greatest common factor 38523 and 38533 is 1.

Also check out the Least Common Multiple of 38523 and 38533