What is the Greatest Common Factor of 89458 and 89462?

Greatest common factor (GCF) of 89458 and 89462 is 2.

GCF(89458,89462) = 2

We will now calculate the prime factors of 89458 and 89462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89458 and 89462.

How to find the GCF of 89458 and 89462?

We will first find the prime factorization of 89458 and 89462. After we will calculate the factors of 89458 and 89462 and find the biggest common factor number .

Step-1: Prime Factorization of 89458

Prime factors of 89458 are 2, 44729. Prime factorization of 89458 in exponential form is:

89458 = 2¹ × 44729¹

Step-2: Prime Factorization of 89462

Prime factors of 89462 are 2, 41, 1091. Prime factorization of 89462 in exponential form is:

89462 = 2¹ × 41¹ × 1091¹

Step-3: Factors of 89458

List of positive integer factors of 89458 that divides 89458 without a remainder.

1, 2, 44729

Step-4: Factors of 89462

List of positive integer factors of 89462 that divides 89458 without a remainder.

1, 2, 41, 82, 1091, 2182, 44731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89458 and 89462. The biggest common factor number is the GCF number.
So the greatest common factor 89458 and 89462 is 2.

Also check out the Least Common Multiple of 89458 and 89462