What is the Greatest Common Factor of 40035 and 40053?

Greatest common factor (GCF) of 40035 and 40053 is 3.

GCF(40035,40053) = 3

We will now calculate the prime factors of 40035 and 40053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40035 and 40053.

How to find the GCF of 40035 and 40053?

We will first find the prime factorization of 40035 and 40053. After we will calculate the factors of 40035 and 40053 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 40053

Prime factors of 40053 are 3, 13, 79. Prime factorization of 40053 in exponential form is:

40053 = 3¹ × 13² × 79¹

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 40053

List of positive integer factors of 40053 that divides 40035 without a remainder.

1, 3, 13, 39, 79, 169, 237, 507, 1027, 3081, 13351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40035 and 40053. The biggest common factor number is the GCF number.
So the greatest common factor 40035 and 40053 is 3.

Also check out the Least Common Multiple of 40035 and 40053