What is the Greatest Common Factor of 89428 and 89446?

Greatest common factor (GCF) of 89428 and 89446 is 2.

GCF(89428,89446) = 2

We will now calculate the prime factors of 89428 and 89446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89428 and 89446.

How to find the GCF of 89428 and 89446?

We will first find the prime factorization of 89428 and 89446. After we will calculate the factors of 89428 and 89446 and find the biggest common factor number .

Step-1: Prime Factorization of 89428

Prime factors of 89428 are 2, 79, 283. Prime factorization of 89428 in exponential form is:

89428 = 2² × 79¹ × 283¹

Step-2: Prime Factorization of 89446

Prime factors of 89446 are 2, 7, 6389. Prime factorization of 89446 in exponential form is:

89446 = 2¹ × 7¹ × 6389¹

Step-3: Factors of 89428

List of positive integer factors of 89428 that divides 89428 without a remainder.

1, 2, 4, 79, 158, 283, 316, 566, 1132, 22357, 44714

Step-4: Factors of 89446

List of positive integer factors of 89446 that divides 89428 without a remainder.

1, 2, 7, 14, 6389, 12778, 44723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89428 and 89446. The biggest common factor number is the GCF number.
So the greatest common factor 89428 and 89446 is 2.

Also check out the Least Common Multiple of 89428 and 89446