What is the Greatest Common Factor of 64449 and 64458?

Greatest common factor (GCF) of 64449 and 64458 is 9.

GCF(64449,64458) = 9

We will now calculate the prime factors of 64449 and 64458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64449 and 64458.

How to find the GCF of 64449 and 64458?

We will first find the prime factorization of 64449 and 64458. After we will calculate the factors of 64449 and 64458 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 64458

Prime factors of 64458 are 2, 3, 3581. Prime factorization of 64458 in exponential form is:

64458 = 2¹ × 3² × 3581¹

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 64458

List of positive integer factors of 64458 that divides 64449 without a remainder.

1, 2, 3, 6, 9, 18, 3581, 7162, 10743, 21486, 32229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64449 and 64458. The biggest common factor number is the GCF number.
So the greatest common factor 64449 and 64458 is 9.

Also check out the Least Common Multiple of 64449 and 64458