What is the Greatest Common Factor of 89744 and 89762?

Greatest common factor (GCF) of 89744 and 89762 is 2.

GCF(89744,89762) = 2

We will now calculate the prime factors of 89744 and 89762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89744 and 89762.

How to find the GCF of 89744 and 89762?

We will first find the prime factorization of 89744 and 89762. After we will calculate the factors of 89744 and 89762 and find the biggest common factor number .

Step-1: Prime Factorization of 89744

Prime factors of 89744 are 2, 71, 79. Prime factorization of 89744 in exponential form is:

89744 = 2⁴ × 71¹ × 79¹

Step-2: 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-3: Factors of 89744

List of positive integer factors of 89744 that divides 89744 without a remainder.

1, 2, 4, 8, 16, 71, 79, 142, 158, 284, 316, 568, 632, 1136, 1264, 5609, 11218, 22436, 44872

Step-4: Factors of 89762

List of positive integer factors of 89762 that divides 89744 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89744 and 89762. The biggest common factor number is the GCF number.
So the greatest common factor 89744 and 89762 is 2.

Also check out the Least Common Multiple of 89744 and 89762