What is the Greatest Common Factor of 40225 and 40235?

Greatest common factor (GCF) of 40225 and 40235 is 5.

GCF(40225,40235) = 5

We will now calculate the prime factors of 40225 and 40235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40225 and 40235.

How to find the GCF of 40225 and 40235?

We will first find the prime factorization of 40225 and 40235. After we will calculate the factors of 40225 and 40235 and find the biggest common factor number .

Step-1: Prime Factorization of 40225

Prime factors of 40225 are 5, 1609. Prime factorization of 40225 in exponential form is:

40225 = 5² × 1609¹

Step-2: Prime Factorization of 40235

Prime factors of 40235 are 5, 13, 619. Prime factorization of 40235 in exponential form is:

40235 = 5¹ × 13¹ × 619¹

Step-3: Factors of 40225

List of positive integer factors of 40225 that divides 40225 without a remainder.

1, 5, 25, 1609, 8045

Step-4: Factors of 40235

List of positive integer factors of 40235 that divides 40225 without a remainder.

1, 5, 13, 65, 619, 3095, 8047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40225 and 40235. The biggest common factor number is the GCF number.
So the greatest common factor 40225 and 40235 is 5.

Also check out the Least Common Multiple of 40225 and 40235