What is the Greatest Common Factor of 35480 and 35500?

Greatest common factor (GCF) of 35480 and 35500 is 20.

GCF(35480,35500) = 20

We will now calculate the prime factors of 35480 and 35500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35480 and 35500.

How to find the GCF of 35480 and 35500?

We will first find the prime factorization of 35480 and 35500. After we will calculate the factors of 35480 and 35500 and find the biggest common factor number .

Step-1: Prime Factorization of 35480

Prime factors of 35480 are 2, 5, 887. Prime factorization of 35480 in exponential form is:

35480 = 2³ × 5¹ × 887¹

Step-2: 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-3: Factors of 35480

List of positive integer factors of 35480 that divides 35480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 887, 1774, 3548, 4435, 7096, 8870, 17740

Step-4: Factors of 35500

List of positive integer factors of 35500 that divides 35480 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35480 and 35500. The biggest common factor number is the GCF number.
So the greatest common factor 35480 and 35500 is 20.

Also check out the Least Common Multiple of 35480 and 35500