What is the Greatest Common Factor of 90776 and 90783?

Greatest common factor (GCF) of 90776 and 90783 is 7.

GCF(90776,90783) = 7

We will now calculate the prime factors of 90776 and 90783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90776 and 90783.

How to find the GCF of 90776 and 90783?

We will first find the prime factorization of 90776 and 90783. After we will calculate the factors of 90776 and 90783 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 90783

Prime factors of 90783 are 3, 7, 11, 131. Prime factorization of 90783 in exponential form is:

90783 = 3² × 7¹ × 11¹ × 131¹

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 90783

List of positive integer factors of 90783 that divides 90776 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 131, 231, 393, 693, 917, 1179, 1441, 2751, 4323, 8253, 10087, 12969, 30261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90776 and 90783. The biggest common factor number is the GCF number.
So the greatest common factor 90776 and 90783 is 7.

Also check out the Least Common Multiple of 90776 and 90783