What is the Greatest Common Factor of 15638 and 15645?

Greatest common factor (GCF) of 15638 and 15645 is 7.

GCF(15638,15645) = 7

We will now calculate the prime factors of 15638 and 15645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15638 and 15645.

How to find the GCF of 15638 and 15645?

We will first find the prime factorization of 15638 and 15645. After we will calculate the factors of 15638 and 15645 and find the biggest common factor number .

Step-1: Prime Factorization of 15638

Prime factors of 15638 are 2, 7, 1117. Prime factorization of 15638 in exponential form is:

15638 = 2¹ × 7¹ × 1117¹

Step-2: Prime Factorization of 15645

Prime factors of 15645 are 3, 5, 7, 149. Prime factorization of 15645 in exponential form is:

15645 = 3¹ × 5¹ × 7¹ × 149¹

Step-3: Factors of 15638

List of positive integer factors of 15638 that divides 15638 without a remainder.

1, 2, 7, 14, 1117, 2234, 7819

Step-4: Factors of 15645

List of positive integer factors of 15645 that divides 15638 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 149, 447, 745, 1043, 2235, 3129, 5215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15638 and 15645. The biggest common factor number is the GCF number.
So the greatest common factor 15638 and 15645 is 7.

Also check out the Least Common Multiple of 15638 and 15645