What is the Greatest Common Factor of 90472 and 90488?

Greatest common factor (GCF) of 90472 and 90488 is 8.

GCF(90472,90488) = 8

We will now calculate the prime factors of 90472 and 90488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90472 and 90488.

How to find the GCF of 90472 and 90488?

We will first find the prime factorization of 90472 and 90488. After we will calculate the factors of 90472 and 90488 and find the biggest common factor number .

Step-1: Prime Factorization of 90472

Prime factors of 90472 are 2, 43, 263. Prime factorization of 90472 in exponential form is:

90472 = 2³ × 43¹ × 263¹

Step-2: Prime Factorization of 90488

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

90488 = 2³ × 11311¹

Step-3: Factors of 90472

List of positive integer factors of 90472 that divides 90472 without a remainder.

1, 2, 4, 8, 43, 86, 172, 263, 344, 526, 1052, 2104, 11309, 22618, 45236

Step-4: Factors of 90488

List of positive integer factors of 90488 that divides 90472 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90472 and 90488. The biggest common factor number is the GCF number.
So the greatest common factor 90472 and 90488 is 8.

Also check out the Least Common Multiple of 90472 and 90488