What is the Greatest Common Factor of 68200 and 68204?

Greatest common factor (GCF) of 68200 and 68204 is 4.

GCF(68200,68204) = 4

We will now calculate the prime factors of 68200 and 68204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68200 and 68204.

How to find the GCF of 68200 and 68204?

We will first find the prime factorization of 68200 and 68204. After we will calculate the factors of 68200 and 68204 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68204

Prime factors of 68204 are 2, 17, 59. Prime factorization of 68204 in exponential form is:

68204 = 2² × 17² × 59¹

Step-3: Factors of 68200

List of positive integer factors of 68200 that divides 68200 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

Step-4: Factors of 68204

List of positive integer factors of 68204 that divides 68200 without a remainder.

1, 2, 4, 17, 34, 59, 68, 118, 236, 289, 578, 1003, 1156, 2006, 4012, 17051, 34102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68200 and 68204. The biggest common factor number is the GCF number.
So the greatest common factor 68200 and 68204 is 4.

Also check out the Least Common Multiple of 68200 and 68204