What is the Greatest Common Factor of 90488 and 90505?

Greatest common factor (GCF) of 90488 and 90505 is 1.

GCF(90488,90505) = 1

We will now calculate the prime factors of 90488 and 90505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90488 and 90505.

How to find the GCF of 90488 and 90505?

We will first find the prime factorization of 90488 and 90505. After we will calculate the factors of 90488 and 90505 and find the biggest common factor number .

Step-1: Prime Factorization of 90488

Prime factors of 90488 are 2, 11311. Prime factorization of 90488 in exponential form is:

90488 = 2³ × 11311¹

Step-2: Prime Factorization of 90505

Prime factors of 90505 are 5, 23, 787. Prime factorization of 90505 in exponential form is:

90505 = 5¹ × 23¹ × 787¹

Step-3: Factors of 90488

List of positive integer factors of 90488 that divides 90488 without a remainder.

1, 2, 4, 8, 11311, 22622, 45244

Step-4: Factors of 90505

List of positive integer factors of 90505 that divides 90488 without a remainder.

1, 5, 23, 115, 787, 3935, 18101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90488 and 90505. The biggest common factor number is the GCF number.
So the greatest common factor 90488 and 90505 is 1.

Also check out the Least Common Multiple of 90488 and 90505