What is the Greatest Common Factor of 64427 and 64438?

Greatest common factor (GCF) of 64427 and 64438 is 11.

GCF(64427,64438) = 11

We will now calculate the prime factors of 64427 and 64438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64427 and 64438.

How to find the GCF of 64427 and 64438?

We will first find the prime factorization of 64427 and 64438. After we will calculate the factors of 64427 and 64438 and find the biggest common factor number .

Step-1: Prime Factorization of 64427

Prime factors of 64427 are 11, 5857. Prime factorization of 64427 in exponential form is:

64427 = 11¹ × 5857¹

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 64427

List of positive integer factors of 64427 that divides 64427 without a remainder.

1, 11, 5857

Step-4: Factors of 64438

List of positive integer factors of 64438 that divides 64427 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 64427 and 64438. The biggest common factor number is the GCF number.
So the greatest common factor 64427 and 64438 is 11.

Also check out the Least Common Multiple of 64427 and 64438