What is the Greatest Common Factor of 38549 and 38565?

Greatest common factor (GCF) of 38549 and 38565 is 1.

GCF(38549,38565) = 1

We will now calculate the prime factors of 38549 and 38565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38549 and 38565.

How to find the GCF of 38549 and 38565?

We will first find the prime factorization of 38549 and 38565. After we will calculate the factors of 38549 and 38565 and find the biggest common factor number .

Step-1: Prime Factorization of 38549

Prime factors of 38549 are 7, 5507. Prime factorization of 38549 in exponential form is:

38549 = 7¹ × 5507¹

Step-2: Prime Factorization of 38565

Prime factors of 38565 are 3, 5, 857. Prime factorization of 38565 in exponential form is:

38565 = 3² × 5¹ × 857¹

Step-3: Factors of 38549

List of positive integer factors of 38549 that divides 38549 without a remainder.

1, 7, 5507

Step-4: Factors of 38565

List of positive integer factors of 38565 that divides 38549 without a remainder.

1, 3, 5, 9, 15, 45, 857, 2571, 4285, 7713, 12855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38549 and 38565. The biggest common factor number is the GCF number.
So the greatest common factor 38549 and 38565 is 1.

Also check out the Least Common Multiple of 38549 and 38565