What is the Greatest Common Factor of 40144 and 40164?

Greatest common factor (GCF) of 40144 and 40164 is 4.

GCF(40144,40164) = 4

We will now calculate the prime factors of 40144 and 40164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40144 and 40164.

How to find the GCF of 40144 and 40164?

We will first find the prime factorization of 40144 and 40164. After we will calculate the factors of 40144 and 40164 and find the biggest common factor number .

Step-1: Prime Factorization of 40144

Prime factors of 40144 are 2, 13, 193. Prime factorization of 40144 in exponential form is:

40144 = 2⁴ × 13¹ × 193¹

Step-2: Prime Factorization of 40164

Prime factors of 40164 are 2, 3, 3347. Prime factorization of 40164 in exponential form is:

40164 = 2² × 3¹ × 3347¹

Step-3: Factors of 40144

List of positive integer factors of 40144 that divides 40144 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 193, 208, 386, 772, 1544, 2509, 3088, 5018, 10036, 20072

Step-4: Factors of 40164

List of positive integer factors of 40164 that divides 40144 without a remainder.

1, 2, 3, 4, 6, 12, 3347, 6694, 10041, 13388, 20082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40144 and 40164. The biggest common factor number is the GCF number.
So the greatest common factor 40144 and 40164 is 4.

Also check out the Least Common Multiple of 40144 and 40164