What is the Greatest Common Factor of 70190 and 70200?

Greatest common factor (GCF) of 70190 and 70200 is 10.

GCF(70190,70200) = 10

We will now calculate the prime factors of 70190 and 70200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70190 and 70200.

How to find the GCF of 70190 and 70200?

We will first find the prime factorization of 70190 and 70200. After we will calculate the factors of 70190 and 70200 and find the biggest common factor number .

Step-1: Prime Factorization of 70190

Prime factors of 70190 are 2, 5, 7019. Prime factorization of 70190 in exponential form is:

70190 = 2¹ × 5¹ × 7019¹

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 70190

List of positive integer factors of 70190 that divides 70190 without a remainder.

1, 2, 5, 10, 7019, 14038, 35095

Step-4: Factors of 70200

List of positive integer factors of 70200 that divides 70190 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 70190 and 70200. The biggest common factor number is the GCF number.
So the greatest common factor 70190 and 70200 is 10.

Also check out the Least Common Multiple of 70190 and 70200