What is the Greatest Common Factor of 89820 and 89836?

Greatest common factor (GCF) of 89820 and 89836 is 4.

GCF(89820,89836) = 4

We will now calculate the prime factors of 89820 and 89836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89820 and 89836.

How to find the GCF of 89820 and 89836?

We will first find the prime factorization of 89820 and 89836. After we will calculate the factors of 89820 and 89836 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 89836

Prime factors of 89836 are 2, 37, 607. Prime factorization of 89836 in exponential form is:

89836 = 2² × 37¹ × 607¹

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 89836

List of positive integer factors of 89836 that divides 89820 without a remainder.

1, 2, 4, 37, 74, 148, 607, 1214, 2428, 22459, 44918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89820 and 89836. The biggest common factor number is the GCF number.
So the greatest common factor 89820 and 89836 is 4.

Also check out the Least Common Multiple of 89820 and 89836