What is the Greatest Common Factor of 89688 and 89706?

Greatest common factor (GCF) of 89688 and 89706 is 6.

GCF(89688,89706) = 6

We will now calculate the prime factors of 89688 and 89706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89688 and 89706.

How to find the GCF of 89688 and 89706?

We will first find the prime factorization of 89688 and 89706. After we will calculate the factors of 89688 and 89706 and find the biggest common factor number .

Step-1: Prime Factorization of 89688

Prime factors of 89688 are 2, 3, 37, 101. Prime factorization of 89688 in exponential form is:

89688 = 2³ × 3¹ × 37¹ × 101¹

Step-2: Prime Factorization of 89706

Prime factors of 89706 are 2, 3, 14951. Prime factorization of 89706 in exponential form is:

89706 = 2¹ × 3¹ × 14951¹

Step-3: Factors of 89688

List of positive integer factors of 89688 that divides 89688 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 101, 111, 148, 202, 222, 296, 303, 404, 444, 606, 808, 888, 1212, 2424, 3737, 7474, 11211, 14948, 22422, 29896, 44844

Step-4: Factors of 89706

List of positive integer factors of 89706 that divides 89688 without a remainder.

1, 2, 3, 6, 14951, 29902, 44853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89688 and 89706. The biggest common factor number is the GCF number.
So the greatest common factor 89688 and 89706 is 6.

Also check out the Least Common Multiple of 89688 and 89706