What is the Greatest Common Factor of 63044 and 63064?

Greatest common factor (GCF) of 63044 and 63064 is 4.

GCF(63044,63064) = 4

We will now calculate the prime factors of 63044 and 63064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63044 and 63064.

How to find the GCF of 63044 and 63064?

We will first find the prime factorization of 63044 and 63064. After we will calculate the factors of 63044 and 63064 and find the biggest common factor number .

Step-1: Prime Factorization of 63044

Prime factors of 63044 are 2, 15761. Prime factorization of 63044 in exponential form is:

63044 = 2² × 15761¹

Step-2: Prime Factorization of 63064

Prime factors of 63064 are 2, 7883. Prime factorization of 63064 in exponential form is:

63064 = 2³ × 7883¹

Step-3: Factors of 63044

List of positive integer factors of 63044 that divides 63044 without a remainder.

1, 2, 4, 15761, 31522

Step-4: Factors of 63064

List of positive integer factors of 63064 that divides 63044 without a remainder.

1, 2, 4, 8, 7883, 15766, 31532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63044 and 63064. The biggest common factor number is the GCF number.
So the greatest common factor 63044 and 63064 is 4.

Also check out the Least Common Multiple of 63044 and 63064