What is the Greatest Common Factor of 40507 and 40512?

Greatest common factor (GCF) of 40507 and 40512 is 1.

GCF(40507,40512) = 1

We will now calculate the prime factors of 40507 and 40512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40507 and 40512.

How to find the GCF of 40507 and 40512?

We will first find the prime factorization of 40507 and 40512. After we will calculate the factors of 40507 and 40512 and find the biggest common factor number .

Step-1: Prime Factorization of 40507

Prime factors of 40507 are 40507. Prime factorization of 40507 in exponential form is:

40507 = 40507¹

Step-2: Prime Factorization of 40512

Prime factors of 40512 are 2, 3, 211. Prime factorization of 40512 in exponential form is:

40512 = 2⁶ × 3¹ × 211¹

Step-3: Factors of 40507

List of positive integer factors of 40507 that divides 40507 without a remainder.

Step-4: Factors of 40512

List of positive integer factors of 40512 that divides 40507 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 211, 422, 633, 844, 1266, 1688, 2532, 3376, 5064, 6752, 10128, 13504, 20256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40507 and 40512. The biggest common factor number is the GCF number.
So the greatest common factor 40507 and 40512 is 1.

Also check out the Least Common Multiple of 40507 and 40512