What is the Greatest Common Factor of 90084 and 90100?

Greatest common factor (GCF) of 90084 and 90100 is 4.

GCF(90084,90100) = 4

We will now calculate the prime factors of 90084 and 90100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90084 and 90100.

How to find the GCF of 90084 and 90100?

We will first find the prime factorization of 90084 and 90100. After we will calculate the factors of 90084 and 90100 and find the biggest common factor number .

Step-1: Prime Factorization of 90084

Prime factors of 90084 are 2, 3, 7507. Prime factorization of 90084 in exponential form is:

90084 = 2² × 3¹ × 7507¹

Step-2: Prime Factorization of 90100

Prime factors of 90100 are 2, 5, 17, 53. Prime factorization of 90100 in exponential form is:

90100 = 2² × 5² × 17¹ × 53¹

Step-3: Factors of 90084

List of positive integer factors of 90084 that divides 90084 without a remainder.

1, 2, 3, 4, 6, 12, 7507, 15014, 22521, 30028, 45042

Step-4: Factors of 90100

List of positive integer factors of 90100 that divides 90084 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 53, 68, 85, 100, 106, 170, 212, 265, 340, 425, 530, 850, 901, 1060, 1325, 1700, 1802, 2650, 3604, 4505, 5300, 9010, 18020, 22525, 45050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90084 and 90100. The biggest common factor number is the GCF number.
So the greatest common factor 90084 and 90100 is 4.

Also check out the Least Common Multiple of 90084 and 90100