What is the Greatest Common Factor of 5649 and 5655?

Greatest common factor (GCF) of 5649 and 5655 is 3.

GCF(5649,5655) = 3

We will now calculate the prime factors of 5649 and 5655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5649 and 5655.

How to find the GCF of 5649 and 5655?

We will first find the prime factorization of 5649 and 5655. After we will calculate the factors of 5649 and 5655 and find the biggest common factor number .

Step-1: Prime Factorization of 5649

Prime factors of 5649 are 3, 7, 269. Prime factorization of 5649 in exponential form is:

5649 = 3¹ × 7¹ × 269¹

Step-2: Prime Factorization of 5655

Prime factors of 5655 are 3, 5, 13, 29. Prime factorization of 5655 in exponential form is:

5655 = 3¹ × 5¹ × 13¹ × 29¹

Step-3: Factors of 5649

List of positive integer factors of 5649 that divides 5649 without a remainder.

1, 3, 7, 21, 269, 807, 1883

Step-4: Factors of 5655

List of positive integer factors of 5655 that divides 5649 without a remainder.

1, 3, 5, 13, 15, 29, 39, 65, 87, 145, 195, 377, 435, 1131, 1885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5649 and 5655. The biggest common factor number is the GCF number.
So the greatest common factor 5649 and 5655 is 3.

Also check out the Least Common Multiple of 5649 and 5655