What is the Greatest Common Factor of 90100 and 90114?

Greatest common factor (GCF) of 90100 and 90114 is 2.

GCF(90100,90114) = 2

We will now calculate the prime factors of 90100 and 90114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90100 and 90114.

How to find the GCF of 90100 and 90114?

We will first find the prime factorization of 90100 and 90114. After we will calculate the factors of 90100 and 90114 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90114

Prime factors of 90114 are 2, 3, 23, 653. Prime factorization of 90114 in exponential form is:

90114 = 2¹ × 3¹ × 23¹ × 653¹

Step-3: Factors of 90100

List of positive integer factors of 90100 that divides 90100 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

Step-4: Factors of 90114

List of positive integer factors of 90114 that divides 90100 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 653, 1306, 1959, 3918, 15019, 30038, 45057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90100 and 90114. The biggest common factor number is the GCF number.
So the greatest common factor 90100 and 90114 is 2.

Also check out the Least Common Multiple of 90100 and 90114