What is the Greatest Common Factor of 89762 and 89768?

Greatest common factor (GCF) of 89762 and 89768 is 2.

GCF(89762,89768) = 2

We will now calculate the prime factors of 89762 and 89768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89762 and 89768.

How to find the GCF of 89762 and 89768?

We will first find the prime factorization of 89762 and 89768. After we will calculate the factors of 89762 and 89768 and find the biggest common factor number .

Step-1: Prime Factorization of 89762

Prime factors of 89762 are 2, 37, 1213. Prime factorization of 89762 in exponential form is:

89762 = 2¹ × 37¹ × 1213¹

Step-2: Prime Factorization of 89768

Prime factors of 89768 are 2, 7, 229. Prime factorization of 89768 in exponential form is:

89768 = 2³ × 7² × 229¹

Step-3: Factors of 89762

List of positive integer factors of 89762 that divides 89762 without a remainder.

1, 2, 37, 74, 1213, 2426, 44881

Step-4: Factors of 89768

List of positive integer factors of 89768 that divides 89762 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 229, 392, 458, 916, 1603, 1832, 3206, 6412, 11221, 12824, 22442, 44884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89762 and 89768. The biggest common factor number is the GCF number.
So the greatest common factor 89762 and 89768 is 2.

Also check out the Least Common Multiple of 89762 and 89768