What is the Greatest Common Factor of 89715 and 89730?

Greatest common factor (GCF) of 89715 and 89730 is 15.

GCF(89715,89730) = 15

We will now calculate the prime factors of 89715 and 89730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89715 and 89730.

How to find the GCF of 89715 and 89730?

We will first find the prime factorization of 89715 and 89730. After we will calculate the factors of 89715 and 89730 and find the biggest common factor number .

Step-1: Prime Factorization of 89715

Prime factors of 89715 are 3, 5, 5981. Prime factorization of 89715 in exponential form is:

89715 = 3¹ × 5¹ × 5981¹

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 89715

List of positive integer factors of 89715 that divides 89715 without a remainder.

1, 3, 5, 15, 5981, 17943, 29905

Step-4: Factors of 89730

List of positive integer factors of 89730 that divides 89715 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 89715 and 89730. The biggest common factor number is the GCF number.
So the greatest common factor 89715 and 89730 is 15.

Also check out the Least Common Multiple of 89715 and 89730