What is the Greatest Common Factor of 40684 and 40704?

Greatest common factor (GCF) of 40684 and 40704 is 4.

GCF(40684,40704) = 4

We will now calculate the prime factors of 40684 and 40704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40684 and 40704.

How to find the GCF of 40684 and 40704?

We will first find the prime factorization of 40684 and 40704. After we will calculate the factors of 40684 and 40704 and find the biggest common factor number .

Step-1: Prime Factorization of 40684

Prime factors of 40684 are 2, 7, 1453. Prime factorization of 40684 in exponential form is:

40684 = 2² × 7¹ × 1453¹

Step-2: Prime Factorization of 40704

Prime factors of 40704 are 2, 3, 53. Prime factorization of 40704 in exponential form is:

40704 = 2⁸ × 3¹ × 53¹

Step-3: Factors of 40684

List of positive integer factors of 40684 that divides 40684 without a remainder.

1, 2, 4, 7, 14, 28, 1453, 2906, 5812, 10171, 20342

Step-4: Factors of 40704

List of positive integer factors of 40704 that divides 40684 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 64, 96, 106, 128, 159, 192, 212, 256, 318, 384, 424, 636, 768, 848, 1272, 1696, 2544, 3392, 5088, 6784, 10176, 13568, 20352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40684 and 40704. The biggest common factor number is the GCF number.
So the greatest common factor 40684 and 40704 is 4.

Also check out the Least Common Multiple of 40684 and 40704