What is the Greatest Common Factor of 64448 and 64460?

Greatest common factor (GCF) of 64448 and 64460 is 4.

GCF(64448,64460) = 4

We will now calculate the prime factors of 64448 and 64460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64448 and 64460.

How to find the GCF of 64448 and 64460?

We will first find the prime factorization of 64448 and 64460. After we will calculate the factors of 64448 and 64460 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 64460

Prime factors of 64460 are 2, 5, 11, 293. Prime factorization of 64460 in exponential form is:

64460 = 2² × 5¹ × 11¹ × 293¹

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 64460

List of positive integer factors of 64460 that divides 64448 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 293, 586, 1172, 1465, 2930, 3223, 5860, 6446, 12892, 16115, 32230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64448 and 64460. The biggest common factor number is the GCF number.
So the greatest common factor 64448 and 64460 is 4.

Also check out the Least Common Multiple of 64448 and 64460