What is the Greatest Common Factor of 89744 and 89752?

Greatest common factor (GCF) of 89744 and 89752 is 8.

GCF(89744,89752) = 8

We will now calculate the prime factors of 89744 and 89752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89744 and 89752.

How to find the GCF of 89744 and 89752?

We will first find the prime factorization of 89744 and 89752. After we will calculate the factors of 89744 and 89752 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 89752

Prime factors of 89752 are 2, 13, 863. Prime factorization of 89752 in exponential form is:

89752 = 2³ × 13¹ × 863¹

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 89752

List of positive integer factors of 89752 that divides 89744 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 863, 1726, 3452, 6904, 11219, 22438, 44876

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89744 and 89752. The biggest common factor number is the GCF number.
So the greatest common factor 89744 and 89752 is 8.

Also check out the Least Common Multiple of 89744 and 89752