What is the Greatest Common Factor of 64448 and 64467?

Greatest common factor (GCF) of 64448 and 64467 is 19.

GCF(64448,64467) = 19

We will now calculate the prime factors of 64448 and 64467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64448 and 64467.

How to find the GCF of 64448 and 64467?

We will first find the prime factorization of 64448 and 64467. After we will calculate the factors of 64448 and 64467 and find the biggest common factor number .

Step-1: Prime Factorization of 64448

Prime factors of 64448 are 2, 19, 53. Prime factorization of 64448 in exponential form is:

64448 = 2⁶ × 19¹ × 53¹

Step-2: Prime Factorization of 64467

Prime factors of 64467 are 3, 13, 19, 29. Prime factorization of 64467 in exponential form is:

64467 = 3² × 13¹ × 19¹ × 29¹

Step-3: Factors of 64448

List of positive integer factors of 64448 that divides 64448 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 53, 64, 76, 106, 152, 212, 304, 424, 608, 848, 1007, 1216, 1696, 2014, 3392, 4028, 8056, 16112, 32224

Step-4: Factors of 64467

List of positive integer factors of 64467 that divides 64448 without a remainder.

1, 3, 9, 13, 19, 29, 39, 57, 87, 117, 171, 247, 261, 377, 551, 741, 1131, 1653, 2223, 3393, 4959, 7163, 21489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64448 and 64467. The biggest common factor number is the GCF number.
So the greatest common factor 64448 and 64467 is 19.

Also check out the Least Common Multiple of 64448 and 64467