What is the Greatest Common Factor of 15477 and 15486?

Greatest common factor (GCF) of 15477 and 15486 is 3.

GCF(15477,15486) = 3

We will now calculate the prime factors of 15477 and 15486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15477 and 15486.

How to find the GCF of 15477 and 15486?

We will first find the prime factorization of 15477 and 15486. After we will calculate the factors of 15477 and 15486 and find the biggest common factor number .

Step-1: Prime Factorization of 15477

Prime factors of 15477 are 3, 7, 11, 67. Prime factorization of 15477 in exponential form is:

15477 = 3¹ × 7¹ × 11¹ × 67¹

Step-2: Prime Factorization of 15486

Prime factors of 15486 are 2, 3, 29, 89. Prime factorization of 15486 in exponential form is:

15486 = 2¹ × 3¹ × 29¹ × 89¹

Step-3: Factors of 15477

List of positive integer factors of 15477 that divides 15477 without a remainder.

1, 3, 7, 11, 21, 33, 67, 77, 201, 231, 469, 737, 1407, 2211, 5159

Step-4: Factors of 15486

List of positive integer factors of 15486 that divides 15477 without a remainder.

1, 2, 3, 6, 29, 58, 87, 89, 174, 178, 267, 534, 2581, 5162, 7743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15477 and 15486. The biggest common factor number is the GCF number.
So the greatest common factor 15477 and 15486 is 3.

Also check out the Least Common Multiple of 15477 and 15486