What is the Greatest Common Factor of 35725 and 35740?

Greatest common factor (GCF) of 35725 and 35740 is 5.

GCF(35725,35740) = 5

We will now calculate the prime factors of 35725 and 35740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35725 and 35740.

How to find the GCF of 35725 and 35740?

We will first find the prime factorization of 35725 and 35740. After we will calculate the factors of 35725 and 35740 and find the biggest common factor number .

Step-1: Prime Factorization of 35725

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

35725 = 5² × 1429¹

Step-2: Prime Factorization of 35740

Prime factors of 35740 are 2, 5, 1787. Prime factorization of 35740 in exponential form is:

35740 = 2² × 5¹ × 1787¹

Step-3: Factors of 35725

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

1, 5, 25, 1429, 7145

Step-4: Factors of 35740

List of positive integer factors of 35740 that divides 35725 without a remainder.

1, 2, 4, 5, 10, 20, 1787, 3574, 7148, 8935, 17870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35725 and 35740. The biggest common factor number is the GCF number.
So the greatest common factor 35725 and 35740 is 5.

Also check out the Least Common Multiple of 35725 and 35740