What is the Greatest Common Factor of 40053 and 40066?

Greatest common factor (GCF) of 40053 and 40066 is 13.

GCF(40053,40066) = 13

We will now calculate the prime factors of 40053 and 40066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40053 and 40066.

How to find the GCF of 40053 and 40066?

We will first find the prime factorization of 40053 and 40066. After we will calculate the factors of 40053 and 40066 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40066

Prime factors of 40066 are 2, 13, 23, 67. Prime factorization of 40066 in exponential form is:

40066 = 2¹ × 13¹ × 23¹ × 67¹

Step-3: Factors of 40053

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

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

Step-4: Factors of 40066

List of positive integer factors of 40066 that divides 40053 without a remainder.

1, 2, 13, 23, 26, 46, 67, 134, 299, 598, 871, 1541, 1742, 3082, 20033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40053 and 40066. The biggest common factor number is the GCF number.
So the greatest common factor 40053 and 40066 is 13.

Also check out the Least Common Multiple of 40053 and 40066