What is the Greatest Common Factor of 89570 and 89576?

Greatest common factor (GCF) of 89570 and 89576 is 2.

GCF(89570,89576) = 2

We will now calculate the prime factors of 89570 and 89576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89570 and 89576.

How to find the GCF of 89570 and 89576?

We will first find the prime factorization of 89570 and 89576. After we will calculate the factors of 89570 and 89576 and find the biggest common factor number .

Step-1: Prime Factorization of 89570

Prime factors of 89570 are 2, 5, 13, 53. Prime factorization of 89570 in exponential form is:

89570 = 2¹ × 5¹ × 13² × 53¹

Step-2: Prime Factorization of 89576

Prime factors of 89576 are 2, 11197. Prime factorization of 89576 in exponential form is:

89576 = 2³ × 11197¹

Step-3: Factors of 89570

List of positive integer factors of 89570 that divides 89570 without a remainder.

1, 2, 5, 10, 13, 26, 53, 65, 106, 130, 169, 265, 338, 530, 689, 845, 1378, 1690, 3445, 6890, 8957, 17914, 44785

Step-4: Factors of 89576

List of positive integer factors of 89576 that divides 89570 without a remainder.

1, 2, 4, 8, 11197, 22394, 44788

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89570 and 89576. The biggest common factor number is the GCF number.
So the greatest common factor 89570 and 89576 is 2.

Also check out the Least Common Multiple of 89570 and 89576