What is the Greatest Common Factor of 35710 and 35725?

Greatest common factor (GCF) of 35710 and 35725 is 5.

GCF(35710,35725) = 5

We will now calculate the prime factors of 35710 and 35725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35710 and 35725.

How to find the GCF of 35710 and 35725?

We will first find the prime factorization of 35710 and 35725. After we will calculate the factors of 35710 and 35725 and find the biggest common factor number .

Step-1: Prime Factorization of 35710

Prime factors of 35710 are 2, 5, 3571. Prime factorization of 35710 in exponential form is:

35710 = 2¹ × 5¹ × 3571¹

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 35710

List of positive integer factors of 35710 that divides 35710 without a remainder.

1, 2, 5, 10, 3571, 7142, 17855

Step-4: Factors of 35725

List of positive integer factors of 35725 that divides 35710 without a remainder.

1, 5, 25, 1429, 7145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35710 and 35725. The biggest common factor number is the GCF number.
So the greatest common factor 35710 and 35725 is 5.

Also check out the Least Common Multiple of 35710 and 35725