What is the Greatest Common Factor of 60200 and 60220?

Greatest common factor (GCF) of 60200 and 60220 is 20.

GCF(60200,60220) = 20

We will now calculate the prime factors of 60200 and 60220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60200 and 60220.

How to find the GCF of 60200 and 60220?

We will first find the prime factorization of 60200 and 60220. After we will calculate the factors of 60200 and 60220 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 60220

Prime factors of 60220 are 2, 5, 3011. Prime factorization of 60220 in exponential form is:

60220 = 2² × 5¹ × 3011¹

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 60220

List of positive integer factors of 60220 that divides 60200 without a remainder.

1, 2, 4, 5, 10, 20, 3011, 6022, 12044, 15055, 30110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60200 and 60220. The biggest common factor number is the GCF number.
So the greatest common factor 60200 and 60220 is 20.

Also check out the Least Common Multiple of 60200 and 60220