What is the Greatest Common Factor of 40700 and 40720?

Greatest common factor (GCF) of 40700 and 40720 is 20.

GCF(40700,40720) = 20

We will now calculate the prime factors of 40700 and 40720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40700 and 40720.

How to find the GCF of 40700 and 40720?

We will first find the prime factorization of 40700 and 40720. After we will calculate the factors of 40700 and 40720 and find the biggest common factor number .

Step-1: Prime Factorization of 40700

Prime factors of 40700 are 2, 5, 11, 37. Prime factorization of 40700 in exponential form is:

40700 = 2² × 5² × 11¹ × 37¹

Step-2: Prime Factorization of 40720

Prime factors of 40720 are 2, 5, 509. Prime factorization of 40720 in exponential form is:

40720 = 2⁴ × 5¹ × 509¹

Step-3: Factors of 40700

List of positive integer factors of 40700 that divides 40700 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 37, 44, 50, 55, 74, 100, 110, 148, 185, 220, 275, 370, 407, 550, 740, 814, 925, 1100, 1628, 1850, 2035, 3700, 4070, 8140, 10175, 20350

Step-4: Factors of 40720

List of positive integer factors of 40720 that divides 40700 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 509, 1018, 2036, 2545, 4072, 5090, 8144, 10180, 20360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40700 and 40720. The biggest common factor number is the GCF number.
So the greatest common factor 40700 and 40720 is 20.

Also check out the Least Common Multiple of 40700 and 40720