What is the Greatest Common Factor of 60200 and 60210?

Greatest common factor (GCF) of 60200 and 60210 is 10.

GCF(60200,60210) = 10

We will now calculate the prime factors of 60200 and 60210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60200 and 60210.

How to find the GCF of 60200 and 60210?

We will first find the prime factorization of 60200 and 60210. After we will calculate the factors of 60200 and 60210 and find the biggest common factor number .

Step-1: Prime Factorization of 60200

Prime factors of 60200 are 2, 5, 7, 43. Prime factorization of 60200 in exponential form is:

60200 = 2³ × 5² × 7¹ × 43¹

Step-2: Prime Factorization of 60210

Prime factors of 60210 are 2, 3, 5, 223. Prime factorization of 60210 in exponential form is:

60210 = 2¹ × 3³ × 5¹ × 223¹

Step-3: Factors of 60200

List of positive integer factors of 60200 that divides 60200 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 43, 50, 56, 70, 86, 100, 140, 172, 175, 200, 215, 280, 301, 344, 350, 430, 602, 700, 860, 1075, 1204, 1400, 1505, 1720, 2150, 2408, 3010, 4300, 6020, 7525, 8600, 12040, 15050, 30100

Step-4: Factors of 60210

List of positive integer factors of 60210 that divides 60200 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 223, 270, 446, 669, 1115, 1338, 2007, 2230, 3345, 4014, 6021, 6690, 10035, 12042, 20070, 30105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60200 and 60210. The biggest common factor number is the GCF number.
So the greatest common factor 60200 and 60210 is 10.

Also check out the Least Common Multiple of 60200 and 60210