What is the Greatest Common Factor of 40053 and 40062?

Greatest common factor (GCF) of 40053 and 40062 is 3.

GCF(40053,40062) = 3

We will now calculate the prime factors of 40053 and 40062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40053 and 40062.

How to find the GCF of 40053 and 40062?

We will first find the prime factorization of 40053 and 40062. After we will calculate the factors of 40053 and 40062 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 40062

Prime factors of 40062 are 2, 3, 11, 607. Prime factorization of 40062 in exponential form is:

40062 = 2¹ × 3¹ × 11¹ × 607¹

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 40062

List of positive integer factors of 40062 that divides 40053 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 607, 1214, 1821, 3642, 6677, 13354, 20031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40053 and 40062. The biggest common factor number is the GCF number.
So the greatest common factor 40053 and 40062 is 3.

Also check out the Least Common Multiple of 40053 and 40062