What is the Greatest Common Factor of 90776 and 90788?

Greatest common factor (GCF) of 90776 and 90788 is 4.

GCF(90776,90788) = 4

We will now calculate the prime factors of 90776 and 90788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90776 and 90788.

How to find the GCF of 90776 and 90788?

We will first find the prime factorization of 90776 and 90788. After we will calculate the factors of 90776 and 90788 and find the biggest common factor number .

Step-1: Prime Factorization of 90776

Prime factors of 90776 are 2, 7, 1621. Prime factorization of 90776 in exponential form is:

90776 = 2³ × 7¹ × 1621¹

Step-2: Prime Factorization of 90788

Prime factors of 90788 are 2, 22697. Prime factorization of 90788 in exponential form is:

90788 = 2² × 22697¹

Step-3: Factors of 90776

List of positive integer factors of 90776 that divides 90776 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1621, 3242, 6484, 11347, 12968, 22694, 45388

Step-4: Factors of 90788

List of positive integer factors of 90788 that divides 90776 without a remainder.

1, 2, 4, 22697, 45394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90776 and 90788. The biggest common factor number is the GCF number.
So the greatest common factor 90776 and 90788 is 4.

Also check out the Least Common Multiple of 90776 and 90788