What is the Greatest Common Factor of 40705 and 40725?

Greatest common factor (GCF) of 40705 and 40725 is 5.

GCF(40705,40725) = 5

We will now calculate the prime factors of 40705 and 40725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40705 and 40725.

How to find the GCF of 40705 and 40725?

We will first find the prime factorization of 40705 and 40725. After we will calculate the factors of 40705 and 40725 and find the biggest common factor number .

Step-1: Prime Factorization of 40705

Prime factors of 40705 are 5, 7, 1163. Prime factorization of 40705 in exponential form is:

40705 = 5¹ × 7¹ × 1163¹

Step-2: Prime Factorization of 40725

Prime factors of 40725 are 3, 5, 181. Prime factorization of 40725 in exponential form is:

40725 = 3² × 5² × 181¹

Step-3: Factors of 40705

List of positive integer factors of 40705 that divides 40705 without a remainder.

1, 5, 7, 35, 1163, 5815, 8141

Step-4: Factors of 40725

List of positive integer factors of 40725 that divides 40705 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 181, 225, 543, 905, 1629, 2715, 4525, 8145, 13575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40705 and 40725. The biggest common factor number is the GCF number.
So the greatest common factor 40705 and 40725 is 5.

Also check out the Least Common Multiple of 40705 and 40725