What is the Greatest Common Factor of 64437 and 64449?

Greatest common factor (GCF) of 64437 and 64449 is 3.

GCF(64437,64449) = 3

We will now calculate the prime factors of 64437 and 64449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64437 and 64449.

How to find the GCF of 64437 and 64449?

We will first find the prime factorization of 64437 and 64449. After we will calculate the factors of 64437 and 64449 and find the biggest common factor number .

Step-1: Prime Factorization of 64437

Prime factors of 64437 are 3, 47, 457. Prime factorization of 64437 in exponential form is:

64437 = 3¹ × 47¹ × 457¹

Step-2: 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-3: Factors of 64437

List of positive integer factors of 64437 that divides 64437 without a remainder.

1, 3, 47, 141, 457, 1371, 21479

Step-4: Factors of 64449

List of positive integer factors of 64449 that divides 64437 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64437 and 64449. The biggest common factor number is the GCF number.
So the greatest common factor 64437 and 64449 is 3.

Also check out the Least Common Multiple of 64437 and 64449