What is the Greatest Common Factor of 40125 and 40140?

Greatest common factor (GCF) of 40125 and 40140 is 15.

GCF(40125,40140) = 15

We will now calculate the prime factors of 40125 and 40140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40125 and 40140.

How to find the GCF of 40125 and 40140?

We will first find the prime factorization of 40125 and 40140. After we will calculate the factors of 40125 and 40140 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 40140

Prime factors of 40140 are 2, 3, 5, 223. Prime factorization of 40140 in exponential form is:

40140 = 2² × 3² × 5¹ × 223¹

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 40140

List of positive integer factors of 40140 that divides 40125 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 223, 446, 669, 892, 1115, 1338, 2007, 2230, 2676, 3345, 4014, 4460, 6690, 8028, 10035, 13380, 20070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40125 and 40140. The biggest common factor number is the GCF number.
So the greatest common factor 40125 and 40140 is 15.

Also check out the Least Common Multiple of 40125 and 40140