What is the Greatest Common Factor of 64144 and 64163?

Greatest common factor (GCF) of 64144 and 64163 is 19.

GCF(64144,64163) = 19

We will now calculate the prime factors of 64144 and 64163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64144 and 64163.

How to find the GCF of 64144 and 64163?

We will first find the prime factorization of 64144 and 64163. After we will calculate the factors of 64144 and 64163 and find the biggest common factor number .

Step-1: Prime Factorization of 64144

Prime factors of 64144 are 2, 19, 211. Prime factorization of 64144 in exponential form is:

64144 = 2⁴ × 19¹ × 211¹

Step-2: Prime Factorization of 64163

Prime factors of 64163 are 11, 19, 307. Prime factorization of 64163 in exponential form is:

64163 = 11¹ × 19¹ × 307¹

Step-3: Factors of 64144

List of positive integer factors of 64144 that divides 64144 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 211, 304, 422, 844, 1688, 3376, 4009, 8018, 16036, 32072

Step-4: Factors of 64163

List of positive integer factors of 64163 that divides 64144 without a remainder.

1, 11, 19, 209, 307, 3377, 5833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64144 and 64163. The biggest common factor number is the GCF number.
So the greatest common factor 64144 and 64163 is 19.

Also check out the Least Common Multiple of 64144 and 64163