What is the Greatest Common Factor of 89724 and 89730?

Greatest common factor (GCF) of 89724 and 89730 is 6.

GCF(89724,89730) = 6

We will now calculate the prime factors of 89724 and 89730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89724 and 89730.

How to find the GCF of 89724 and 89730?

We will first find the prime factorization of 89724 and 89730. After we will calculate the factors of 89724 and 89730 and find the biggest common factor number .

Step-1: Prime Factorization of 89724

Prime factors of 89724 are 2, 3, 7477. Prime factorization of 89724 in exponential form is:

89724 = 2² × 3¹ × 7477¹

Step-2: Prime Factorization of 89730

Prime factors of 89730 are 2, 3, 5, 997. Prime factorization of 89730 in exponential form is:

89730 = 2¹ × 3² × 5¹ × 997¹

Step-3: Factors of 89724

List of positive integer factors of 89724 that divides 89724 without a remainder.

1, 2, 3, 4, 6, 12, 7477, 14954, 22431, 29908, 44862

Step-4: Factors of 89730

List of positive integer factors of 89730 that divides 89724 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 997, 1994, 2991, 4985, 5982, 8973, 9970, 14955, 17946, 29910, 44865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89724 and 89730. The biggest common factor number is the GCF number.
So the greatest common factor 89724 and 89730 is 6.

Also check out the Least Common Multiple of 89724 and 89730