What is the Greatest Common Factor of 40012 and 40026?

Greatest common factor (GCF) of 40012 and 40026 is 14.

GCF(40012,40026) = 14

We will now calculate the prime factors of 40012 and 40026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40012 and 40026.

How to find the GCF of 40012 and 40026?

We will first find the prime factorization of 40012 and 40026. After we will calculate the factors of 40012 and 40026 and find the biggest common factor number .

Step-1: Prime Factorization of 40012

Prime factors of 40012 are 2, 7, 1429. Prime factorization of 40012 in exponential form is:

40012 = 2² × 7¹ × 1429¹

Step-2: Prime Factorization of 40026

Prime factors of 40026 are 2, 3, 7, 953. Prime factorization of 40026 in exponential form is:

40026 = 2¹ × 3¹ × 7¹ × 953¹

Step-3: Factors of 40012

List of positive integer factors of 40012 that divides 40012 without a remainder.

1, 2, 4, 7, 14, 28, 1429, 2858, 5716, 10003, 20006

Step-4: Factors of 40026

List of positive integer factors of 40026 that divides 40012 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 953, 1906, 2859, 5718, 6671, 13342, 20013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40012 and 40026. The biggest common factor number is the GCF number.
So the greatest common factor 40012 and 40026 is 14.

Also check out the Least Common Multiple of 40012 and 40026