What is the Greatest Common Factor of 68180 and 68200?

Greatest common factor (GCF) of 68180 and 68200 is 20.

GCF(68180,68200) = 20

We will now calculate the prime factors of 68180 and 68200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68180 and 68200.

How to find the GCF of 68180 and 68200?

We will first find the prime factorization of 68180 and 68200. After we will calculate the factors of 68180 and 68200 and find the biggest common factor number .

Step-1: Prime Factorization of 68180

Prime factors of 68180 are 2, 5, 7, 487. Prime factorization of 68180 in exponential form is:

68180 = 2² × 5¹ × 7¹ × 487¹

Step-2: Prime Factorization of 68200

Prime factors of 68200 are 2, 5, 11, 31. Prime factorization of 68200 in exponential form is:

68200 = 2³ × 5² × 11¹ × 31¹

Step-3: Factors of 68180

List of positive integer factors of 68180 that divides 68180 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 487, 974, 1948, 2435, 3409, 4870, 6818, 9740, 13636, 17045, 34090

Step-4: Factors of 68200

List of positive integer factors of 68200 that divides 68180 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 31, 40, 44, 50, 55, 62, 88, 100, 110, 124, 155, 200, 220, 248, 275, 310, 341, 440, 550, 620, 682, 775, 1100, 1240, 1364, 1550, 1705, 2200, 2728, 3100, 3410, 6200, 6820, 8525, 13640, 17050, 34100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68180 and 68200. The biggest common factor number is the GCF number.
So the greatest common factor 68180 and 68200 is 20.

Also check out the Least Common Multiple of 68180 and 68200