What is the Greatest Common Factor of 40035 and 40045?

Greatest common factor (GCF) of 40035 and 40045 is 5.

GCF(40035,40045) = 5

We will now calculate the prime factors of 40035 and 40045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40035 and 40045.

How to find the GCF of 40035 and 40045?

We will first find the prime factorization of 40035 and 40045. After we will calculate the factors of 40035 and 40045 and find the biggest common factor number .

Step-1: Prime Factorization of 40035

Prime factors of 40035 are 3, 5, 17, 157. Prime factorization of 40035 in exponential form is:

40035 = 3¹ × 5¹ × 17¹ × 157¹

Step-2: Prime Factorization of 40045

Prime factors of 40045 are 5, 8009. Prime factorization of 40045 in exponential form is:

40045 = 5¹ × 8009¹

Step-3: Factors of 40035

List of positive integer factors of 40035 that divides 40035 without a remainder.

1, 3, 5, 15, 17, 51, 85, 157, 255, 471, 785, 2355, 2669, 8007, 13345

Step-4: Factors of 40045

List of positive integer factors of 40045 that divides 40035 without a remainder.

1, 5, 8009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40035 and 40045. The biggest common factor number is the GCF number.
So the greatest common factor 40035 and 40045 is 5.

Also check out the Least Common Multiple of 40035 and 40045