What is the Greatest Common Factor of 15575 and 15582?

Greatest common factor (GCF) of 15575 and 15582 is 7.

GCF(15575,15582) = 7

We will now calculate the prime factors of 15575 and 15582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15575 and 15582.

How to find the GCF of 15575 and 15582?

We will first find the prime factorization of 15575 and 15582. After we will calculate the factors of 15575 and 15582 and find the biggest common factor number .

Step-1: Prime Factorization of 15575

Prime factors of 15575 are 5, 7, 89. Prime factorization of 15575 in exponential form is:

15575 = 5² × 7¹ × 89¹

Step-2: Prime Factorization of 15582

Prime factors of 15582 are 2, 3, 7, 53. Prime factorization of 15582 in exponential form is:

15582 = 2¹ × 3¹ × 7² × 53¹

Step-3: Factors of 15575

List of positive integer factors of 15575 that divides 15575 without a remainder.

1, 5, 7, 25, 35, 89, 175, 445, 623, 2225, 3115

Step-4: Factors of 15582

List of positive integer factors of 15582 that divides 15575 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 53, 98, 106, 147, 159, 294, 318, 371, 742, 1113, 2226, 2597, 5194, 7791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15575 and 15582. The biggest common factor number is the GCF number.
So the greatest common factor 15575 and 15582 is 7.

Also check out the Least Common Multiple of 15575 and 15582