What is the Greatest Common Factor of 38584 and 38588?

Greatest common factor (GCF) of 38584 and 38588 is 4.

GCF(38584,38588) = 4

We will now calculate the prime factors of 38584 and 38588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38584 and 38588.

How to find the GCF of 38584 and 38588?

We will first find the prime factorization of 38584 and 38588. After we will calculate the factors of 38584 and 38588 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38588

Prime factors of 38588 are 2, 11, 877. Prime factorization of 38588 in exponential form is:

38588 = 2² × 11¹ × 877¹

Step-3: Factors of 38584

List of positive integer factors of 38584 that divides 38584 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

Step-4: Factors of 38588

List of positive integer factors of 38588 that divides 38584 without a remainder.

1, 2, 4, 11, 22, 44, 877, 1754, 3508, 9647, 19294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38584 and 38588. The biggest common factor number is the GCF number.
So the greatest common factor 38584 and 38588 is 4.

Also check out the Least Common Multiple of 38584 and 38588