What is the Greatest Common Factor of 90262 and 90280?

Greatest common factor (GCF) of 90262 and 90280 is 2.

GCF(90262,90280) = 2

We will now calculate the prime factors of 90262 and 90280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90262 and 90280.

How to find the GCF of 90262 and 90280?

We will first find the prime factorization of 90262 and 90280. After we will calculate the factors of 90262 and 90280 and find the biggest common factor number .

Step-1: Prime Factorization of 90262

Prime factors of 90262 are 2, 45131. Prime factorization of 90262 in exponential form is:

90262 = 2¹ × 45131¹

Step-2: 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-3: Factors of 90262

List of positive integer factors of 90262 that divides 90262 without a remainder.

1, 2, 45131

Step-4: Factors of 90280

List of positive integer factors of 90280 that divides 90262 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90262 and 90280. The biggest common factor number is the GCF number.
So the greatest common factor 90262 and 90280 is 2.

Also check out the Least Common Multiple of 90262 and 90280