What is the Greatest Common Factor of 89840 and 89858?

Greatest common factor (GCF) of 89840 and 89858 is 2.

GCF(89840,89858) = 2

We will now calculate the prime factors of 89840 and 89858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89840 and 89858.

How to find the GCF of 89840 and 89858?

We will first find the prime factorization of 89840 and 89858. After we will calculate the factors of 89840 and 89858 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89858

Prime factors of 89858 are 2, 179, 251. Prime factorization of 89858 in exponential form is:

89858 = 2¹ × 179¹ × 251¹

Step-3: Factors of 89840

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

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

Step-4: Factors of 89858

List of positive integer factors of 89858 that divides 89840 without a remainder.

1, 2, 179, 251, 358, 502, 44929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89840 and 89858. The biggest common factor number is the GCF number.
So the greatest common factor 89840 and 89858 is 2.

Also check out the Least Common Multiple of 89840 and 89858