What is the Greatest Common Factor of 89076 and 89082?

Greatest common factor (GCF) of 89076 and 89082 is 6.

GCF(89076,89082) = 6

We will now calculate the prime factors of 89076 and 89082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89076 and 89082.

How to find the GCF of 89076 and 89082?

We will first find the prime factorization of 89076 and 89082. After we will calculate the factors of 89076 and 89082 and find the biggest common factor number .

Step-1: Prime Factorization of 89076

Prime factors of 89076 are 2, 3, 13, 571. Prime factorization of 89076 in exponential form is:

89076 = 2² × 3¹ × 13¹ × 571¹

Step-2: Prime Factorization of 89082

Prime factors of 89082 are 2, 3, 7, 101. Prime factorization of 89082 in exponential form is:

89082 = 2¹ × 3² × 7² × 101¹

Step-3: Factors of 89076

List of positive integer factors of 89076 that divides 89076 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 571, 1142, 1713, 2284, 3426, 6852, 7423, 14846, 22269, 29692, 44538

Step-4: Factors of 89082

List of positive integer factors of 89082 that divides 89076 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 101, 126, 147, 202, 294, 303, 441, 606, 707, 882, 909, 1414, 1818, 2121, 4242, 4949, 6363, 9898, 12726, 14847, 29694, 44541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89076 and 89082. The biggest common factor number is the GCF number.
So the greatest common factor 89076 and 89082 is 6.

Also check out the Least Common Multiple of 89076 and 89082