What is the Greatest Common Factor of 40051 and 40062?

Greatest common factor (GCF) of 40051 and 40062 is 11.

GCF(40051,40062) = 11

We will now calculate the prime factors of 40051 and 40062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40051 and 40062.

How to find the GCF of 40051 and 40062?

We will first find the prime factorization of 40051 and 40062. After we will calculate the factors of 40051 and 40062 and find the biggest common factor number .

Step-1: Prime Factorization of 40051

Prime factors of 40051 are 11, 331. Prime factorization of 40051 in exponential form is:

40051 = 11² × 331¹

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 40051

List of positive integer factors of 40051 that divides 40051 without a remainder.

1, 11, 121, 331, 3641

Step-4: Factors of 40062

List of positive integer factors of 40062 that divides 40051 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 40051 and 40062. The biggest common factor number is the GCF number.
So the greatest common factor 40051 and 40062 is 11.

Also check out the Least Common Multiple of 40051 and 40062