What is the Greatest Common Factor of 89536 and 89542?

Greatest common factor (GCF) of 89536 and 89542 is 2.

GCF(89536,89542) = 2

We will now calculate the prime factors of 89536 and 89542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89536 and 89542.

How to find the GCF of 89536 and 89542?

We will first find the prime factorization of 89536 and 89542. After we will calculate the factors of 89536 and 89542 and find the biggest common factor number .

Step-1: Prime Factorization of 89536

Prime factors of 89536 are 2, 1399. Prime factorization of 89536 in exponential form is:

89536 = 2⁶ × 1399¹

Step-2: Prime Factorization of 89542

Prime factors of 89542 are 2, 44771. Prime factorization of 89542 in exponential form is:

89542 = 2¹ × 44771¹

Step-3: Factors of 89536

List of positive integer factors of 89536 that divides 89536 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1399, 2798, 5596, 11192, 22384, 44768

Step-4: Factors of 89542

List of positive integer factors of 89542 that divides 89536 without a remainder.

1, 2, 44771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89536 and 89542. The biggest common factor number is the GCF number.
So the greatest common factor 89536 and 89542 is 2.

Also check out the Least Common Multiple of 89536 and 89542