What is the Greatest Common Factor of 40264 and 40274?

Greatest common factor (GCF) of 40264 and 40274 is 2.

GCF(40264,40274) = 2

We will now calculate the prime factors of 40264 and 40274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40264 and 40274.

How to find the GCF of 40264 and 40274?

We will first find the prime factorization of 40264 and 40274. After we will calculate the factors of 40264 and 40274 and find the biggest common factor number .

Step-1: Prime Factorization of 40264

Prime factors of 40264 are 2, 7, 719. Prime factorization of 40264 in exponential form is:

40264 = 2³ × 7¹ × 719¹

Step-2: Prime Factorization of 40274

Prime factors of 40274 are 2, 13, 1549. Prime factorization of 40274 in exponential form is:

40274 = 2¹ × 13¹ × 1549¹

Step-3: Factors of 40264

List of positive integer factors of 40264 that divides 40264 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 719, 1438, 2876, 5033, 5752, 10066, 20132

Step-4: Factors of 40274

List of positive integer factors of 40274 that divides 40264 without a remainder.

1, 2, 13, 26, 1549, 3098, 20137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40264 and 40274. The biggest common factor number is the GCF number.
So the greatest common factor 40264 and 40274 is 2.

Also check out the Least Common Multiple of 40264 and 40274