GCF and LCM Calculator Logo

What is the Greatest Common Factor of 38569 and 38584?

Greatest common factor (GCF) of 38569 and 38584 is 1.

GCF(38569,38584) = 1

We will now calculate the prime factors of 38569 and 38584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38569 and 38584.

GCF Calculator and
and

How to find the GCF of 38569 and 38584?

We will first find the prime factorization of 38569 and 38584. After we will calculate the factors of 38569 and 38584 and find the biggest common factor number .

Step-1: Prime Factorization of 38569

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

38569 = 385691

Step-2: Prime Factorization of 38584

Prime factors of 38584 are 2, 7, 13, 53. Prime factorization of 38584 in exponential form is:

38584 = 23 × 71 × 131 × 531

Step-3: Factors of 38569

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

1

Step-4: Factors of 38584

List of positive integer factors of 38584 that divides 38569 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 53, 56, 91, 104, 106, 182, 212, 364, 371, 424, 689, 728, 742, 1378, 1484, 2756, 2968, 4823, 5512, 9646, 19292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38569 and 38584. The biggest common factor number is the GCF number.
So the greatest common factor 38569 and 38584 is 1.

Also check out the Least Common Multiple of 38569 and 38584