What is the Greatest Common Factor of 64424 and 64438?

Greatest common factor (GCF) of 64424 and 64438 is 2.

GCF(64424,64438) = 2

We will now calculate the prime factors of 64424 and 64438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64424 and 64438.

How to find the GCF of 64424 and 64438?

We will first find the prime factorization of 64424 and 64438. After we will calculate the factors of 64424 and 64438 and find the biggest common factor number .

Step-1: Prime Factorization of 64424

Prime factors of 64424 are 2, 8053. Prime factorization of 64424 in exponential form is:

64424 = 2³ × 8053¹

Step-2: Prime Factorization of 64438

Prime factors of 64438 are 2, 11, 29, 101. Prime factorization of 64438 in exponential form is:

64438 = 2¹ × 11¹ × 29¹ × 101¹

Step-3: Factors of 64424

List of positive integer factors of 64424 that divides 64424 without a remainder.

1, 2, 4, 8, 8053, 16106, 32212

Step-4: Factors of 64438

List of positive integer factors of 64438 that divides 64424 without a remainder.

1, 2, 11, 22, 29, 58, 101, 202, 319, 638, 1111, 2222, 2929, 5858, 32219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64424 and 64438. The biggest common factor number is the GCF number.
So the greatest common factor 64424 and 64438 is 2.

Also check out the Least Common Multiple of 64424 and 64438