What is the Greatest Common Factor of 64449 and 64455?

Greatest common factor (GCF) of 64449 and 64455 is 3.

GCF(64449,64455) = 3

We will now calculate the prime factors of 64449 and 64455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64449 and 64455.

How to find the GCF of 64449 and 64455?

We will first find the prime factorization of 64449 and 64455. After we will calculate the factors of 64449 and 64455 and find the biggest common factor number .

Step-1: Prime Factorization of 64449

Prime factors of 64449 are 3, 7, 11, 31. Prime factorization of 64449 in exponential form is:

64449 = 3³ × 7¹ × 11¹ × 31¹

Step-2: Prime Factorization of 64455

Prime factors of 64455 are 3, 5, 4297. Prime factorization of 64455 in exponential form is:

64455 = 3¹ × 5¹ × 4297¹

Step-3: Factors of 64449

List of positive integer factors of 64449 that divides 64449 without a remainder.

1, 3, 7, 9, 11, 21, 27, 31, 33, 63, 77, 93, 99, 189, 217, 231, 279, 297, 341, 651, 693, 837, 1023, 1953, 2079, 2387, 3069, 5859, 7161, 9207, 21483

Step-4: Factors of 64455

List of positive integer factors of 64455 that divides 64449 without a remainder.

1, 3, 5, 15, 4297, 12891, 21485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64449 and 64455. The biggest common factor number is the GCF number.
So the greatest common factor 64449 and 64455 is 3.

Also check out the Least Common Multiple of 64449 and 64455