What is the Greatest Common Factor of 87785 and 87800?

Greatest common factor (GCF) of 87785 and 87800 is 5.

GCF(87785,87800) = 5

We will now calculate the prime factors of 87785 and 87800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87785 and 87800.

How to find the GCF of 87785 and 87800?

We will first find the prime factorization of 87785 and 87800. After we will calculate the factors of 87785 and 87800 and find the biggest common factor number .

Step-1: Prime Factorization of 87785

Prime factors of 87785 are 5, 97, 181. Prime factorization of 87785 in exponential form is:

87785 = 5¹ × 97¹ × 181¹

Step-2: Prime Factorization of 87800

Prime factors of 87800 are 2, 5, 439. Prime factorization of 87800 in exponential form is:

87800 = 2³ × 5² × 439¹

Step-3: Factors of 87785

List of positive integer factors of 87785 that divides 87785 without a remainder.

1, 5, 97, 181, 485, 905, 17557

Step-4: Factors of 87800

List of positive integer factors of 87800 that divides 87785 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 439, 878, 1756, 2195, 3512, 4390, 8780, 10975, 17560, 21950, 43900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87785 and 87800. The biggest common factor number is the GCF number.
So the greatest common factor 87785 and 87800 is 5.

Also check out the Least Common Multiple of 87785 and 87800