What is the Greatest Common Factor of 89820 and 89830?

Greatest common factor (GCF) of 89820 and 89830 is 10.

GCF(89820,89830) = 10

We will now calculate the prime factors of 89820 and 89830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89820 and 89830.

How to find the GCF of 89820 and 89830?

We will first find the prime factorization of 89820 and 89830. After we will calculate the factors of 89820 and 89830 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89830

Prime factors of 89830 are 2, 5, 13, 691. Prime factorization of 89830 in exponential form is:

89830 = 2¹ × 5¹ × 13¹ × 691¹

Step-3: Factors of 89820

List of positive integer factors of 89820 that divides 89820 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

Step-4: Factors of 89830

List of positive integer factors of 89830 that divides 89820 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 691, 1382, 3455, 6910, 8983, 17966, 44915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89820 and 89830. The biggest common factor number is the GCF number.
So the greatest common factor 89820 and 89830 is 10.

Also check out the Least Common Multiple of 89820 and 89830