What is the Greatest Common Factor of 35705 and 35725?

Greatest common factor (GCF) of 35705 and 35725 is 5.

GCF(35705,35725) = 5

We will now calculate the prime factors of 35705 and 35725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35705 and 35725.

How to find the GCF of 35705 and 35725?

We will first find the prime factorization of 35705 and 35725. After we will calculate the factors of 35705 and 35725 and find the biggest common factor number .

Step-1: Prime Factorization of 35705

Prime factors of 35705 are 5, 37, 193. Prime factorization of 35705 in exponential form is:

35705 = 5¹ × 37¹ × 193¹

Step-2: Prime Factorization of 35725

Prime factors of 35725 are 5, 1429. Prime factorization of 35725 in exponential form is:

35725 = 5² × 1429¹

Step-3: Factors of 35705

List of positive integer factors of 35705 that divides 35705 without a remainder.

1, 5, 37, 185, 193, 965, 7141

Step-4: Factors of 35725

List of positive integer factors of 35725 that divides 35705 without a remainder.

1, 5, 25, 1429, 7145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35705 and 35725. The biggest common factor number is the GCF number.
So the greatest common factor 35705 and 35725 is 5.

Also check out the Least Common Multiple of 35705 and 35725