What is the Greatest Common Factor of 40825 and 40832?

Greatest common factor (GCF) of 40825 and 40832 is 1.

GCF(40825,40832) = 1

We will now calculate the prime factors of 40825 and 40832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40825 and 40832.

How to find the GCF of 40825 and 40832?

We will first find the prime factorization of 40825 and 40832. After we will calculate the factors of 40825 and 40832 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 40832

Prime factors of 40832 are 2, 11, 29. Prime factorization of 40832 in exponential form is:

40832 = 2⁷ × 11¹ × 29¹

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 40832

List of positive integer factors of 40832 that divides 40825 without a remainder.

1, 2, 4, 8, 11, 16, 22, 29, 32, 44, 58, 64, 88, 116, 128, 176, 232, 319, 352, 464, 638, 704, 928, 1276, 1408, 1856, 2552, 3712, 5104, 10208, 20416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40825 and 40832. The biggest common factor number is the GCF number.
So the greatest common factor 40825 and 40832 is 1.

Also check out the Least Common Multiple of 40825 and 40832