What is the Greatest Common Factor of 90280 and 90287?

Greatest common factor (GCF) of 90280 and 90287 is 1.

GCF(90280,90287) = 1

We will now calculate the prime factors of 90280 and 90287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90280 and 90287.

How to find the GCF of 90280 and 90287?

We will first find the prime factorization of 90280 and 90287. After we will calculate the factors of 90280 and 90287 and find the biggest common factor number .

Step-1: Prime Factorization of 90280

Prime factors of 90280 are 2, 5, 37, 61. Prime factorization of 90280 in exponential form is:

90280 = 2³ × 5¹ × 37¹ × 61¹

Step-2: Prime Factorization of 90287

Prime factors of 90287 are 17, 47, 113. Prime factorization of 90287 in exponential form is:

90287 = 17¹ × 47¹ × 113¹

Step-3: Factors of 90280

List of positive integer factors of 90280 that divides 90280 without a remainder.

1, 2, 4, 5, 8, 10, 20, 37, 40, 61, 74, 122, 148, 185, 244, 296, 305, 370, 488, 610, 740, 1220, 1480, 2257, 2440, 4514, 9028, 11285, 18056, 22570, 45140

Step-4: Factors of 90287

List of positive integer factors of 90287 that divides 90280 without a remainder.

1, 17, 47, 113, 799, 1921, 5311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90280 and 90287. The biggest common factor number is the GCF number.
So the greatest common factor 90280 and 90287 is 1.

Also check out the Least Common Multiple of 90280 and 90287