What is the Greatest Common Factor of 15538 and 15555?

Greatest common factor (GCF) of 15538 and 15555 is 17.

GCF(15538,15555) = 17

We will now calculate the prime factors of 15538 and 15555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15538 and 15555.

How to find the GCF of 15538 and 15555?

We will first find the prime factorization of 15538 and 15555. After we will calculate the factors of 15538 and 15555 and find the biggest common factor number .

Step-1: Prime Factorization of 15538

Prime factors of 15538 are 2, 17, 457. Prime factorization of 15538 in exponential form is:

15538 = 2¹ × 17¹ × 457¹

Step-2: Prime Factorization of 15555

Prime factors of 15555 are 3, 5, 17, 61. Prime factorization of 15555 in exponential form is:

15555 = 3¹ × 5¹ × 17¹ × 61¹

Step-3: Factors of 15538

List of positive integer factors of 15538 that divides 15538 without a remainder.

1, 2, 17, 34, 457, 914, 7769

Step-4: Factors of 15555

List of positive integer factors of 15555 that divides 15538 without a remainder.

1, 3, 5, 15, 17, 51, 61, 85, 183, 255, 305, 915, 1037, 3111, 5185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15538 and 15555. The biggest common factor number is the GCF number.
So the greatest common factor 15538 and 15555 is 17.

Also check out the Least Common Multiple of 15538 and 15555