What is the Greatest Common Factor of 38577 and 38584?

Greatest common factor (GCF) of 38577 and 38584 is 7.

GCF(38577,38584) = 7

We will now calculate the prime factors of 38577 and 38584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38577 and 38584.

How to find the GCF of 38577 and 38584?

We will first find the prime factorization of 38577 and 38584. After we will calculate the factors of 38577 and 38584 and find the biggest common factor number .

Step-1: Prime Factorization of 38577

Prime factors of 38577 are 3, 7, 11, 167. Prime factorization of 38577 in exponential form is:

38577 = 3¹ × 7¹ × 11¹ × 167¹

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 38577

List of positive integer factors of 38577 that divides 38577 without a remainder.

1, 3, 7, 11, 21, 33, 77, 167, 231, 501, 1169, 1837, 3507, 5511, 12859

Step-4: Factors of 38584

List of positive integer factors of 38584 that divides 38577 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 38577 and 38584. The biggest common factor number is the GCF number.
So the greatest common factor 38577 and 38584 is 7.

Also check out the Least Common Multiple of 38577 and 38584