What is the Greatest Common Factor of 40695 and 40712?

Greatest common factor (GCF) of 40695 and 40712 is 1.

GCF(40695,40712) = 1

We will now calculate the prime factors of 40695 and 40712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40695 and 40712.

How to find the GCF of 40695 and 40712?

We will first find the prime factorization of 40695 and 40712. After we will calculate the factors of 40695 and 40712 and find the biggest common factor number .

Step-1: Prime Factorization of 40695

Prime factors of 40695 are 3, 5, 2713. Prime factorization of 40695 in exponential form is:

40695 = 3¹ × 5¹ × 2713¹

Step-2: Prime Factorization of 40712

Prime factors of 40712 are 2, 7, 727. Prime factorization of 40712 in exponential form is:

40712 = 2³ × 7¹ × 727¹

Step-3: Factors of 40695

List of positive integer factors of 40695 that divides 40695 without a remainder.

1, 3, 5, 15, 2713, 8139, 13565

Step-4: Factors of 40712

List of positive integer factors of 40712 that divides 40695 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 727, 1454, 2908, 5089, 5816, 10178, 20356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40695 and 40712. The biggest common factor number is the GCF number.
So the greatest common factor 40695 and 40712 is 1.

Also check out the Least Common Multiple of 40695 and 40712