What is the Greatest Common Factor of 64144 and 64164?

Greatest common factor (GCF) of 64144 and 64164 is 4.

GCF(64144,64164) = 4

We will now calculate the prime factors of 64144 and 64164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64144 and 64164.

How to find the GCF of 64144 and 64164?

We will first find the prime factorization of 64144 and 64164. After we will calculate the factors of 64144 and 64164 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 64164

Prime factors of 64164 are 2, 3, 5347. Prime factorization of 64164 in exponential form is:

64164 = 2² × 3¹ × 5347¹

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 64164

List of positive integer factors of 64164 that divides 64144 without a remainder.

1, 2, 3, 4, 6, 12, 5347, 10694, 16041, 21388, 32082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64144 and 64164. The biggest common factor number is the GCF number.
So the greatest common factor 64144 and 64164 is 4.

Also check out the Least Common Multiple of 64144 and 64164