What is the Greatest Common Factor of 64429 and 64448?

Greatest common factor (GCF) of 64429 and 64448 is 19.

GCF(64429,64448) = 19

We will now calculate the prime factors of 64429 and 64448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64429 and 64448.

How to find the GCF of 64429 and 64448?

We will first find the prime factorization of 64429 and 64448. After we will calculate the factors of 64429 and 64448 and find the biggest common factor number .

Step-1: Prime Factorization of 64429

Prime factors of 64429 are 19, 3391. Prime factorization of 64429 in exponential form is:

64429 = 19¹ × 3391¹

Step-2: 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-3: Factors of 64429

List of positive integer factors of 64429 that divides 64429 without a remainder.

1, 19, 3391

Step-4: Factors of 64448

List of positive integer factors of 64448 that divides 64429 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64429 and 64448. The biggest common factor number is the GCF number.
So the greatest common factor 64429 and 64448 is 19.

Also check out the Least Common Multiple of 64429 and 64448