What is the Greatest Common Factor of 90776 and 90785?

Greatest common factor (GCF) of 90776 and 90785 is 1.

GCF(90776,90785) = 1

We will now calculate the prime factors of 90776 and 90785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90776 and 90785.

How to find the GCF of 90776 and 90785?

We will first find the prime factorization of 90776 and 90785. After we will calculate the factors of 90776 and 90785 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 90785

Prime factors of 90785 are 5, 67, 271. Prime factorization of 90785 in exponential form is:

90785 = 5¹ × 67¹ × 271¹

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 90785

List of positive integer factors of 90785 that divides 90776 without a remainder.

1, 5, 67, 271, 335, 1355, 18157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90776 and 90785. The biggest common factor number is the GCF number.
So the greatest common factor 90776 and 90785 is 1.

Also check out the Least Common Multiple of 90776 and 90785