What is the Greatest Common Factor of 90760 and 90776?

Greatest common factor (GCF) of 90760 and 90776 is 8.

GCF(90760,90776) = 8

We will now calculate the prime factors of 90760 and 90776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90760 and 90776.

How to find the GCF of 90760 and 90776?

We will first find the prime factorization of 90760 and 90776. After we will calculate the factors of 90760 and 90776 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 90760

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

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

Step-4: Factors of 90776

List of positive integer factors of 90776 that divides 90760 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90760 and 90776. The biggest common factor number is the GCF number.
So the greatest common factor 90760 and 90776 is 8.

Also check out the Least Common Multiple of 90760 and 90776