What is the Greatest Common Factor of 90752 and 90772?

Greatest common factor (GCF) of 90752 and 90772 is 4.

GCF(90752,90772) = 4

We will now calculate the prime factors of 90752 and 90772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90752 and 90772.

How to find the GCF of 90752 and 90772?

We will first find the prime factorization of 90752 and 90772. After we will calculate the factors of 90752 and 90772 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 90772

Prime factors of 90772 are 2, 11, 2063. Prime factorization of 90772 in exponential form is:

90772 = 2² × 11¹ × 2063¹

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 90772

List of positive integer factors of 90772 that divides 90752 without a remainder.

1, 2, 4, 11, 22, 44, 2063, 4126, 8252, 22693, 45386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90752 and 90772. The biggest common factor number is the GCF number.
So the greatest common factor 90752 and 90772 is 4.

Also check out the Least Common Multiple of 90752 and 90772