What is the Greatest Common Factor of 89814 and 89820?

Greatest common factor (GCF) of 89814 and 89820 is 6.

GCF(89814,89820) = 6

We will now calculate the prime factors of 89814 and 89820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89814 and 89820.

How to find the GCF of 89814 and 89820?

We will first find the prime factorization of 89814 and 89820. After we will calculate the factors of 89814 and 89820 and find the biggest common factor number .

Step-1: Prime Factorization of 89814

Prime factors of 89814 are 2, 3, 14969. Prime factorization of 89814 in exponential form is:

89814 = 2¹ × 3¹ × 14969¹

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 89814

List of positive integer factors of 89814 that divides 89814 without a remainder.

1, 2, 3, 6, 14969, 29938, 44907

Step-4: Factors of 89820

List of positive integer factors of 89820 that divides 89814 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 89814 and 89820. The biggest common factor number is the GCF number.
So the greatest common factor 89814 and 89820 is 6.

Also check out the Least Common Multiple of 89814 and 89820