What is the Greatest Common Factor of 35500 and 35506?

Greatest common factor (GCF) of 35500 and 35506 is 2.

GCF(35500,35506) = 2

We will now calculate the prime factors of 35500 and 35506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35500 and 35506.

How to find the GCF of 35500 and 35506?

We will first find the prime factorization of 35500 and 35506. After we will calculate the factors of 35500 and 35506 and find the biggest common factor number .

Step-1: Prime Factorization of 35500

Prime factors of 35500 are 2, 5, 71. Prime factorization of 35500 in exponential form is:

35500 = 2² × 5³ × 71¹

Step-2: Prime Factorization of 35506

Prime factors of 35506 are 2, 41, 433. Prime factorization of 35506 in exponential form is:

35506 = 2¹ × 41¹ × 433¹

Step-3: Factors of 35500

List of positive integer factors of 35500 that divides 35500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 71, 100, 125, 142, 250, 284, 355, 500, 710, 1420, 1775, 3550, 7100, 8875, 17750

Step-4: Factors of 35506

List of positive integer factors of 35506 that divides 35500 without a remainder.

1, 2, 41, 82, 433, 866, 17753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35500 and 35506. The biggest common factor number is the GCF number.
So the greatest common factor 35500 and 35506 is 2.

Also check out the Least Common Multiple of 35500 and 35506