What is the Greatest Common Factor of 89910 and 89926?

Greatest common factor (GCF) of 89910 and 89926 is 2.

GCF(89910,89926) = 2

We will now calculate the prime factors of 89910 and 89926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89910 and 89926.

How to find the GCF of 89910 and 89926?

We will first find the prime factorization of 89910 and 89926. After we will calculate the factors of 89910 and 89926 and find the biggest common factor number .

Step-1: Prime Factorization of 89910

Prime factors of 89910 are 2, 3, 5, 37. Prime factorization of 89910 in exponential form is:

89910 = 2¹ × 3⁵ × 5¹ × 37¹

Step-2: Prime Factorization of 89926

Prime factors of 89926 are 2, 44963. Prime factorization of 89926 in exponential form is:

89926 = 2¹ × 44963¹

Step-3: Factors of 89910

List of positive integer factors of 89910 that divides 89910 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 37, 45, 54, 74, 81, 90, 111, 135, 162, 185, 222, 243, 270, 333, 370, 405, 486, 555, 666, 810, 999, 1110, 1215, 1665, 1998, 2430, 2997, 3330, 4995, 5994, 8991, 9990, 14985, 17982, 29970, 44955

Step-4: Factors of 89926

List of positive integer factors of 89926 that divides 89910 without a remainder.

1, 2, 44963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89910 and 89926. The biggest common factor number is the GCF number.
So the greatest common factor 89910 and 89926 is 2.

Also check out the Least Common Multiple of 89910 and 89926