What is the Greatest Common Factor of 90104 and 90124?

Greatest common factor (GCF) of 90104 and 90124 is 4.

GCF(90104,90124) = 4

We will now calculate the prime factors of 90104 and 90124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90104 and 90124.

How to find the GCF of 90104 and 90124?

We will first find the prime factorization of 90104 and 90124. After we will calculate the factors of 90104 and 90124 and find the biggest common factor number .

Step-1: Prime Factorization of 90104

Prime factors of 90104 are 2, 7, 1609. Prime factorization of 90104 in exponential form is:

90104 = 2³ × 7¹ × 1609¹

Step-2: Prime Factorization of 90124

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

90124 = 2² × 22531¹

Step-3: Factors of 90104

List of positive integer factors of 90104 that divides 90104 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1609, 3218, 6436, 11263, 12872, 22526, 45052

Step-4: Factors of 90124

List of positive integer factors of 90124 that divides 90104 without a remainder.

1, 2, 4, 22531, 45062

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90104 and 90124. The biggest common factor number is the GCF number.
So the greatest common factor 90104 and 90124 is 4.

Also check out the Least Common Multiple of 90104 and 90124