What is the Greatest Common Factor of 89785 and 89800?

Greatest common factor (GCF) of 89785 and 89800 is 5.

GCF(89785,89800) = 5

We will now calculate the prime factors of 89785 and 89800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89785 and 89800.

How to find the GCF of 89785 and 89800?

We will first find the prime factorization of 89785 and 89800. After we will calculate the factors of 89785 and 89800 and find the biggest common factor number .

Step-1: Prime Factorization of 89785

Prime factors of 89785 are 5, 17957. Prime factorization of 89785 in exponential form is:

89785 = 5¹ × 17957¹

Step-2: Prime Factorization of 89800

Prime factors of 89800 are 2, 5, 449. Prime factorization of 89800 in exponential form is:

89800 = 2³ × 5² × 449¹

Step-3: Factors of 89785

List of positive integer factors of 89785 that divides 89785 without a remainder.

1, 5, 17957

Step-4: Factors of 89800

List of positive integer factors of 89800 that divides 89785 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 449, 898, 1796, 2245, 3592, 4490, 8980, 11225, 17960, 22450, 44900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89785 and 89800. The biggest common factor number is the GCF number.
So the greatest common factor 89785 and 89800 is 5.

Also check out the Least Common Multiple of 89785 and 89800