What is the Greatest Common Factor of 89800 and 89820?

Greatest common factor (GCF) of 89800 and 89820 is 20.

GCF(89800,89820) = 20

We will now calculate the prime factors of 89800 and 89820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89800 and 89820.

How to find the GCF of 89800 and 89820?

We will first find the prime factorization of 89800 and 89820. After we will calculate the factors of 89800 and 89820 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89820

Prime factors of 89820 are 2, 3, 5, 499. Prime factorization of 89820 in exponential form is:

89820 = 2² × 3² × 5¹ × 499¹

Step-3: Factors of 89800

List of positive integer factors of 89800 that divides 89800 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

Step-4: Factors of 89820

List of positive integer factors of 89820 that divides 89800 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 499, 998, 1497, 1996, 2495, 2994, 4491, 4990, 5988, 7485, 8982, 9980, 14970, 17964, 22455, 29940, 44910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89800 and 89820. The biggest common factor number is the GCF number.
So the greatest common factor 89800 and 89820 is 20.

Also check out the Least Common Multiple of 89800 and 89820