What is the Greatest Common Factor of 40264 and 40278?

Greatest common factor (GCF) of 40264 and 40278 is 14.

GCF(40264,40278) = 14

We will now calculate the prime factors of 40264 and 40278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40264 and 40278.

How to find the GCF of 40264 and 40278?

We will first find the prime factorization of 40264 and 40278. After we will calculate the factors of 40264 and 40278 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 40278

Prime factors of 40278 are 2, 3, 7, 137. Prime factorization of 40278 in exponential form is:

40278 = 2¹ × 3¹ × 7² × 137¹

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 40278

List of positive integer factors of 40278 that divides 40264 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 137, 147, 274, 294, 411, 822, 959, 1918, 2877, 5754, 6713, 13426, 20139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40264 and 40278. The biggest common factor number is the GCF number.
So the greatest common factor 40264 and 40278 is 14.

Also check out the Least Common Multiple of 40264 and 40278