What is the Greatest Common Factor of 68195 and 68200?

Greatest common factor (GCF) of 68195 and 68200 is 5.

GCF(68195,68200) = 5

We will now calculate the prime factors of 68195 and 68200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68195 and 68200.

How to find the GCF of 68195 and 68200?

We will first find the prime factorization of 68195 and 68200. After we will calculate the factors of 68195 and 68200 and find the biggest common factor number .

Step-1: Prime Factorization of 68195

Prime factors of 68195 are 5, 23, 593. Prime factorization of 68195 in exponential form is:

68195 = 5¹ × 23¹ × 593¹

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 68195

List of positive integer factors of 68195 that divides 68195 without a remainder.

1, 5, 23, 115, 593, 2965, 13639

Step-4: Factors of 68200

List of positive integer factors of 68200 that divides 68195 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 68195 and 68200. The biggest common factor number is the GCF number.
So the greatest common factor 68195 and 68200 is 5.

Also check out the Least Common Multiple of 68195 and 68200