What is the Greatest Common Factor of 63609 and 63615?

Greatest common factor (GCF) of 63609 and 63615 is 3.

GCF(63609,63615) = 3

We will now calculate the prime factors of 63609 and 63615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63609 and 63615.

How to find the GCF of 63609 and 63615?

We will first find the prime factorization of 63609 and 63615. After we will calculate the factors of 63609 and 63615 and find the biggest common factor number .

Step-1: Prime Factorization of 63609

Prime factors of 63609 are 3, 7, 13, 233. Prime factorization of 63609 in exponential form is:

63609 = 3¹ × 7¹ × 13¹ × 233¹

Step-2: Prime Factorization of 63615

Prime factors of 63615 are 3, 5, 4241. Prime factorization of 63615 in exponential form is:

63615 = 3¹ × 5¹ × 4241¹

Step-3: Factors of 63609

List of positive integer factors of 63609 that divides 63609 without a remainder.

1, 3, 7, 13, 21, 39, 91, 233, 273, 699, 1631, 3029, 4893, 9087, 21203

Step-4: Factors of 63615

List of positive integer factors of 63615 that divides 63609 without a remainder.

1, 3, 5, 15, 4241, 12723, 21205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63609 and 63615. The biggest common factor number is the GCF number.
So the greatest common factor 63609 and 63615 is 3.

Also check out the Least Common Multiple of 63609 and 63615