What is the Greatest Common Factor of 90752 and 90760?

Greatest common factor (GCF) of 90752 and 90760 is 8.

GCF(90752,90760) = 8

We will now calculate the prime factors of 90752 and 90760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90752 and 90760.

How to find the GCF of 90752 and 90760?

We will first find the prime factorization of 90752 and 90760. After we will calculate the factors of 90752 and 90760 and find the biggest common factor number .

Step-1: Prime Factorization of 90752

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

90752 = 2⁷ × 709¹

Step-2: Prime Factorization of 90760

Prime factors of 90760 are 2, 5, 2269. Prime factorization of 90760 in exponential form is:

90760 = 2³ × 5¹ × 2269¹

Step-3: Factors of 90752

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

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

Step-4: Factors of 90760

List of positive integer factors of 90760 that divides 90752 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2269, 4538, 9076, 11345, 18152, 22690, 45380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90752 and 90760. The biggest common factor number is the GCF number.
So the greatest common factor 90752 and 90760 is 8.

Also check out the Least Common Multiple of 90752 and 90760