What is the Greatest Common Factor of 40825 and 40830?

Greatest common factor (GCF) of 40825 and 40830 is 5.

GCF(40825,40830) = 5

We will now calculate the prime factors of 40825 and 40830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40825 and 40830.

How to find the GCF of 40825 and 40830?

We will first find the prime factorization of 40825 and 40830. After we will calculate the factors of 40825 and 40830 and find the biggest common factor number .

Step-1: Prime Factorization of 40825

Prime factors of 40825 are 5, 23, 71. Prime factorization of 40825 in exponential form is:

40825 = 5² × 23¹ × 71¹

Step-2: Prime Factorization of 40830

Prime factors of 40830 are 2, 3, 5, 1361. Prime factorization of 40830 in exponential form is:

40830 = 2¹ × 3¹ × 5¹ × 1361¹

Step-3: Factors of 40825

List of positive integer factors of 40825 that divides 40825 without a remainder.

1, 5, 23, 25, 71, 115, 355, 575, 1633, 1775, 8165

Step-4: Factors of 40830

List of positive integer factors of 40830 that divides 40825 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1361, 2722, 4083, 6805, 8166, 13610, 20415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40825 and 40830. The biggest common factor number is the GCF number.
So the greatest common factor 40825 and 40830 is 5.

Also check out the Least Common Multiple of 40825 and 40830