What is the Greatest Common Factor of 40240 and 40250?

Greatest common factor (GCF) of 40240 and 40250 is 10.

GCF(40240,40250) = 10

We will now calculate the prime factors of 40240 and 40250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40240 and 40250.

How to find the GCF of 40240 and 40250?

We will first find the prime factorization of 40240 and 40250. After we will calculate the factors of 40240 and 40250 and find the biggest common factor number .

Step-1: Prime Factorization of 40240

Prime factors of 40240 are 2, 5, 503. Prime factorization of 40240 in exponential form is:

40240 = 2⁴ × 5¹ × 503¹

Step-2: 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-3: Factors of 40240

List of positive integer factors of 40240 that divides 40240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 503, 1006, 2012, 2515, 4024, 5030, 8048, 10060, 20120

Step-4: Factors of 40250

List of positive integer factors of 40250 that divides 40240 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40240 and 40250. The biggest common factor number is the GCF number.
So the greatest common factor 40240 and 40250 is 10.

Also check out the Least Common Multiple of 40240 and 40250