What is the Greatest Common Factor of 40144 and 40157?

Greatest common factor (GCF) of 40144 and 40157 is 13.

GCF(40144,40157) = 13

We will now calculate the prime factors of 40144 and 40157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40144 and 40157.

How to find the GCF of 40144 and 40157?

We will first find the prime factorization of 40144 and 40157. After we will calculate the factors of 40144 and 40157 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 40157

Prime factors of 40157 are 13, 3089. Prime factorization of 40157 in exponential form is:

40157 = 13¹ × 3089¹

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 40157

List of positive integer factors of 40157 that divides 40144 without a remainder.

1, 13, 3089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40144 and 40157. The biggest common factor number is the GCF number.
So the greatest common factor 40144 and 40157 is 13.

Also check out the Least Common Multiple of 40144 and 40157