What is the Greatest Common Factor of 38129 and 38136?

Greatest common factor (GCF) of 38129 and 38136 is 7.

GCF(38129,38136) = 7

We will now calculate the prime factors of 38129 and 38136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38129 and 38136.

How to find the GCF of 38129 and 38136?

We will first find the prime factorization of 38129 and 38136. After we will calculate the factors of 38129 and 38136 and find the biggest common factor number .

Step-1: Prime Factorization of 38129

Prime factors of 38129 are 7, 13, 419. Prime factorization of 38129 in exponential form is:

38129 = 7¹ × 13¹ × 419¹

Step-2: Prime Factorization of 38136

Prime factors of 38136 are 2, 3, 7, 227. Prime factorization of 38136 in exponential form is:

38136 = 2³ × 3¹ × 7¹ × 227¹

Step-3: Factors of 38129

List of positive integer factors of 38129 that divides 38129 without a remainder.

1, 7, 13, 91, 419, 2933, 5447

Step-4: Factors of 38136

List of positive integer factors of 38136 that divides 38129 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 227, 454, 681, 908, 1362, 1589, 1816, 2724, 3178, 4767, 5448, 6356, 9534, 12712, 19068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38129 and 38136. The biggest common factor number is the GCF number.
So the greatest common factor 38129 and 38136 is 7.

Also check out the Least Common Multiple of 38129 and 38136