What is the Greatest Common Factor of 90744 and 90752?

Greatest common factor (GCF) of 90744 and 90752 is 8.

GCF(90744,90752) = 8

We will now calculate the prime factors of 90744 and 90752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90744 and 90752.

How to find the GCF of 90744 and 90752?

We will first find the prime factorization of 90744 and 90752. After we will calculate the factors of 90744 and 90752 and find the biggest common factor number .

Step-1: Prime Factorization of 90744

Prime factors of 90744 are 2, 3, 19, 199. Prime factorization of 90744 in exponential form is:

90744 = 2³ × 3¹ × 19¹ × 199¹

Step-2: Prime Factorization of 90752

Prime factors of 90752 are 2, 709. Prime factorization of 90752 in exponential form is:

90752 = 2⁷ × 709¹

Step-3: Factors of 90744

List of positive integer factors of 90744 that divides 90744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 199, 228, 398, 456, 597, 796, 1194, 1592, 2388, 3781, 4776, 7562, 11343, 15124, 22686, 30248, 45372

Step-4: Factors of 90752

List of positive integer factors of 90752 that divides 90744 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 709, 1418, 2836, 5672, 11344, 22688, 45376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90744 and 90752. The biggest common factor number is the GCF number.
So the greatest common factor 90744 and 90752 is 8.

Also check out the Least Common Multiple of 90744 and 90752