What is the Greatest Common Factor of 89825 and 89840?

Greatest common factor (GCF) of 89825 and 89840 is 5.

GCF(89825,89840) = 5

We will now calculate the prime factors of 89825 and 89840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89825 and 89840.

How to find the GCF of 89825 and 89840?

We will first find the prime factorization of 89825 and 89840. After we will calculate the factors of 89825 and 89840 and find the biggest common factor number .

Step-1: Prime Factorization of 89825

Prime factors of 89825 are 5, 3593. Prime factorization of 89825 in exponential form is:

89825 = 5² × 3593¹

Step-2: Prime Factorization of 89840

Prime factors of 89840 are 2, 5, 1123. Prime factorization of 89840 in exponential form is:

89840 = 2⁴ × 5¹ × 1123¹

Step-3: Factors of 89825

List of positive integer factors of 89825 that divides 89825 without a remainder.

1, 5, 25, 3593, 17965

Step-4: Factors of 89840

List of positive integer factors of 89840 that divides 89825 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1123, 2246, 4492, 5615, 8984, 11230, 17968, 22460, 44920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89825 and 89840. The biggest common factor number is the GCF number.
So the greatest common factor 89825 and 89840 is 5.

Also check out the Least Common Multiple of 89825 and 89840