What is the Greatest Common Factor of 90262 and 90282?

Greatest common factor (GCF) of 90262 and 90282 is 2.

GCF(90262,90282) = 2

We will now calculate the prime factors of 90262 and 90282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90262 and 90282.

How to find the GCF of 90262 and 90282?

We will first find the prime factorization of 90262 and 90282. After we will calculate the factors of 90262 and 90282 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 90282

Prime factors of 90282 are 2, 3, 41, 367. Prime factorization of 90282 in exponential form is:

90282 = 2¹ × 3¹ × 41¹ × 367¹

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 90282

List of positive integer factors of 90282 that divides 90262 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 367, 734, 1101, 2202, 15047, 30094, 45141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90262 and 90282. The biggest common factor number is the GCF number.
So the greatest common factor 90262 and 90282 is 2.

Also check out the Least Common Multiple of 90262 and 90282