What is the Greatest Common Factor of 89744 and 89750?

Greatest common factor (GCF) of 89744 and 89750 is 2.

GCF(89744,89750) = 2

We will now calculate the prime factors of 89744 and 89750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89744 and 89750.

How to find the GCF of 89744 and 89750?

We will first find the prime factorization of 89744 and 89750. After we will calculate the factors of 89744 and 89750 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 89750

Prime factors of 89750 are 2, 5, 359. Prime factorization of 89750 in exponential form is:

89750 = 2¹ × 5³ × 359¹

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 89750

List of positive integer factors of 89750 that divides 89744 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 359, 718, 1795, 3590, 8975, 17950, 44875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89744 and 89750. The biggest common factor number is the GCF number.
So the greatest common factor 89744 and 89750 is 2.

Also check out the Least Common Multiple of 89744 and 89750