What is the Greatest Common Factor of 40250 and 40270?

Greatest common factor (GCF) of 40250 and 40270 is 10.

GCF(40250,40270) = 10

We will now calculate the prime factors of 40250 and 40270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40250 and 40270.

How to find the GCF of 40250 and 40270?

We will first find the prime factorization of 40250 and 40270. After we will calculate the factors of 40250 and 40270 and find the biggest common factor number .

Step-1: Prime Factorization of 40250

Prime factors of 40250 are 2, 5, 7, 23. Prime factorization of 40250 in exponential form is:

40250 = 2¹ × 5³ × 7¹ × 23¹

Step-2: Prime Factorization of 40270

Prime factors of 40270 are 2, 5, 4027. Prime factorization of 40270 in exponential form is:

40270 = 2¹ × 5¹ × 4027¹

Step-3: Factors of 40250

List of positive integer factors of 40250 that divides 40250 without a remainder.

1, 2, 5, 7, 10, 14, 23, 25, 35, 46, 50, 70, 115, 125, 161, 175, 230, 250, 322, 350, 575, 805, 875, 1150, 1610, 1750, 2875, 4025, 5750, 8050, 20125

Step-4: Factors of 40270

List of positive integer factors of 40270 that divides 40250 without a remainder.

1, 2, 5, 10, 4027, 8054, 20135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40250 and 40270. The biggest common factor number is the GCF number.
So the greatest common factor 40250 and 40270 is 10.

Also check out the Least Common Multiple of 40250 and 40270