What is the Greatest Common Factor of 70183 and 70200?

Greatest common factor (GCF) of 70183 and 70200 is 1.

GCF(70183,70200) = 1

We will now calculate the prime factors of 70183 and 70200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70183 and 70200.

How to find the GCF of 70183 and 70200?

We will first find the prime factorization of 70183 and 70200. After we will calculate the factors of 70183 and 70200 and find the biggest common factor number .

Step-1: Prime Factorization of 70183

Prime factors of 70183 are 70183. Prime factorization of 70183 in exponential form is:

70183 = 70183¹

Step-2: Prime Factorization of 70200

Prime factors of 70200 are 2, 3, 5, 13. Prime factorization of 70200 in exponential form is:

70200 = 2³ × 3³ × 5² × 13¹

Step-3: Factors of 70183

List of positive integer factors of 70183 that divides 70183 without a remainder.

Step-4: Factors of 70200

List of positive integer factors of 70200 that divides 70183 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 25, 26, 27, 30, 36, 39, 40, 45, 50, 52, 54, 60, 65, 72, 75, 78, 90, 100, 104, 108, 117, 120, 130, 135, 150, 156, 180, 195, 200, 216, 225, 234, 260, 270, 300, 312, 325, 351, 360, 390, 450, 468, 520, 540, 585, 600, 650, 675, 702, 780, 900, 936, 975, 1080, 1170, 1300, 1350, 1404, 1560, 1755, 1800, 1950, 2340, 2600, 2700, 2808, 2925, 3510, 3900, 4680, 5400, 5850, 7020, 7800, 8775, 11700, 14040, 17550, 23400, 35100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70183 and 70200. The biggest common factor number is the GCF number.
So the greatest common factor 70183 and 70200 is 1.

Also check out the Least Common Multiple of 70183 and 70200