What is the Greatest Common Factor of 40600 and 40610?

Greatest common factor (GCF) of 40600 and 40610 is 10.

GCF(40600,40610) = 10

We will now calculate the prime factors of 40600 and 40610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40600 and 40610.

How to find the GCF of 40600 and 40610?

We will first find the prime factorization of 40600 and 40610. After we will calculate the factors of 40600 and 40610 and find the biggest common factor number .

Step-1: Prime Factorization of 40600

Prime factors of 40600 are 2, 5, 7, 29. Prime factorization of 40600 in exponential form is:

40600 = 2³ × 5² × 7¹ × 29¹

Step-2: Prime Factorization of 40610

Prime factors of 40610 are 2, 5, 31, 131. Prime factorization of 40610 in exponential form is:

40610 = 2¹ × 5¹ × 31¹ × 131¹

Step-3: Factors of 40600

List of positive integer factors of 40600 that divides 40600 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 29, 35, 40, 50, 56, 58, 70, 100, 116, 140, 145, 175, 200, 203, 232, 280, 290, 350, 406, 580, 700, 725, 812, 1015, 1160, 1400, 1450, 1624, 2030, 2900, 4060, 5075, 5800, 8120, 10150, 20300

Step-4: Factors of 40610

List of positive integer factors of 40610 that divides 40600 without a remainder.

1, 2, 5, 10, 31, 62, 131, 155, 262, 310, 655, 1310, 4061, 8122, 20305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40600 and 40610. The biggest common factor number is the GCF number.
So the greatest common factor 40600 and 40610 is 10.

Also check out the Least Common Multiple of 40600 and 40610