What is the Greatest Common Factor of 90124 and 90144?

Greatest common factor (GCF) of 90124 and 90144 is 4.

GCF(90124,90144) = 4

We will now calculate the prime factors of 90124 and 90144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90124 and 90144.

How to find the GCF of 90124 and 90144?

We will first find the prime factorization of 90124 and 90144. After we will calculate the factors of 90124 and 90144 and find the biggest common factor number .

Step-1: Prime Factorization of 90124

Prime factors of 90124 are 2, 22531. Prime factorization of 90124 in exponential form is:

90124 = 2² × 22531¹

Step-2: Prime Factorization of 90144

Prime factors of 90144 are 2, 3, 313. Prime factorization of 90144 in exponential form is:

90144 = 2⁵ × 3² × 313¹

Step-3: Factors of 90124

List of positive integer factors of 90124 that divides 90124 without a remainder.

1, 2, 4, 22531, 45062

Step-4: Factors of 90144

List of positive integer factors of 90144 that divides 90124 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288, 313, 626, 939, 1252, 1878, 2504, 2817, 3756, 5008, 5634, 7512, 10016, 11268, 15024, 22536, 30048, 45072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90124 and 90144. The biggest common factor number is the GCF number.
So the greatest common factor 90124 and 90144 is 4.

Also check out the Least Common Multiple of 90124 and 90144