What is the Greatest Common Factor of 89666 and 89676?

Greatest common factor (GCF) of 89666 and 89676 is 2.

GCF(89666,89676) = 2

We will now calculate the prime factors of 89666 and 89676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89666 and 89676.

How to find the GCF of 89666 and 89676?

We will first find the prime factorization of 89666 and 89676. After we will calculate the factors of 89666 and 89676 and find the biggest common factor number .

Step-1: Prime Factorization of 89666

Prime factors of 89666 are 2, 107, 419. Prime factorization of 89666 in exponential form is:

89666 = 2¹ × 107¹ × 419¹

Step-2: Prime Factorization of 89676

Prime factors of 89676 are 2, 3, 47, 53. Prime factorization of 89676 in exponential form is:

89676 = 2² × 3² × 47¹ × 53¹

Step-3: Factors of 89666

List of positive integer factors of 89666 that divides 89666 without a remainder.

1, 2, 107, 214, 419, 838, 44833

Step-4: Factors of 89676

List of positive integer factors of 89676 that divides 89666 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 53, 94, 106, 141, 159, 188, 212, 282, 318, 423, 477, 564, 636, 846, 954, 1692, 1908, 2491, 4982, 7473, 9964, 14946, 22419, 29892, 44838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89666 and 89676. The biggest common factor number is the GCF number.
So the greatest common factor 89666 and 89676 is 2.

Also check out the Least Common Multiple of 89666 and 89676