What is the Greatest Common Factor of 89730 and 89742?

Greatest common factor (GCF) of 89730 and 89742 is 6.

GCF(89730,89742) = 6

We will now calculate the prime factors of 89730 and 89742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89730 and 89742.

How to find the GCF of 89730 and 89742?

We will first find the prime factorization of 89730 and 89742. After we will calculate the factors of 89730 and 89742 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89742

Prime factors of 89742 are 2, 3, 14957. Prime factorization of 89742 in exponential form is:

89742 = 2¹ × 3¹ × 14957¹

Step-3: Factors of 89730

List of positive integer factors of 89730 that divides 89730 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

Step-4: Factors of 89742

List of positive integer factors of 89742 that divides 89730 without a remainder.

1, 2, 3, 6, 14957, 29914, 44871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89730 and 89742. The biggest common factor number is the GCF number.
So the greatest common factor 89730 and 89742 is 6.

Also check out the Least Common Multiple of 89730 and 89742