What is the Greatest Common Factor of 38562 and 38569?

Greatest common factor (GCF) of 38562 and 38569 is 1.

GCF(38562,38569) = 1

We will now calculate the prime factors of 38562 and 38569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38562 and 38569.

How to find the GCF of 38562 and 38569?

We will first find the prime factorization of 38562 and 38569. After we will calculate the factors of 38562 and 38569 and find the biggest common factor number .

Step-1: Prime Factorization of 38562

Prime factors of 38562 are 2, 3, 6427. Prime factorization of 38562 in exponential form is:

38562 = 2¹ × 3¹ × 6427¹

Step-2: Prime Factorization of 38569

Prime factors of 38569 are 38569. Prime factorization of 38569 in exponential form is:

38569 = 38569¹

Step-3: Factors of 38562

List of positive integer factors of 38562 that divides 38562 without a remainder.

1, 2, 3, 6, 6427, 12854, 19281

Step-4: Factors of 38569

List of positive integer factors of 38569 that divides 38562 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38562 and 38569. The biggest common factor number is the GCF number.
So the greatest common factor 38562 and 38569 is 1.

Also check out the Least Common Multiple of 38562 and 38569