What is the Greatest Common Factor of 40125 and 40144?

Greatest common factor (GCF) of 40125 and 40144 is 1.

GCF(40125,40144) = 1

We will now calculate the prime factors of 40125 and 40144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40125 and 40144.

How to find the GCF of 40125 and 40144?

We will first find the prime factorization of 40125 and 40144. After we will calculate the factors of 40125 and 40144 and find the biggest common factor number .

Step-1: Prime Factorization of 40125

Prime factors of 40125 are 3, 5, 107. Prime factorization of 40125 in exponential form is:

40125 = 3¹ × 5³ × 107¹

Step-2: 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-3: Factors of 40125

List of positive integer factors of 40125 that divides 40125 without a remainder.

1, 3, 5, 15, 25, 75, 107, 125, 321, 375, 535, 1605, 2675, 8025, 13375

Step-4: Factors of 40144

List of positive integer factors of 40144 that divides 40125 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40125 and 40144. The biggest common factor number is the GCF number.
So the greatest common factor 40125 and 40144 is 1.

Also check out the Least Common Multiple of 40125 and 40144