What is the Greatest Common Factor of 89722 and 89731?

Greatest common factor (GCF) of 89722 and 89731 is 1.

GCF(89722,89731) = 1

We will now calculate the prime factors of 89722 and 89731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89722 and 89731.

How to find the GCF of 89722 and 89731?

We will first find the prime factorization of 89722 and 89731. After we will calculate the factors of 89722 and 89731 and find the biggest common factor number .

Step-1: Prime Factorization of 89722

Prime factors of 89722 are 2, 113, 397. Prime factorization of 89722 in exponential form is:

89722 = 2¹ × 113¹ × 397¹

Step-2: Prime Factorization of 89731

Prime factors of 89731 are 61, 1471. Prime factorization of 89731 in exponential form is:

89731 = 61¹ × 1471¹

Step-3: Factors of 89722

List of positive integer factors of 89722 that divides 89722 without a remainder.

1, 2, 113, 226, 397, 794, 44861

Step-4: Factors of 89731

List of positive integer factors of 89731 that divides 89722 without a remainder.

1, 61, 1471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89722 and 89731. The biggest common factor number is the GCF number.
So the greatest common factor 89722 and 89731 is 1.

Also check out the Least Common Multiple of 89722 and 89731