What is the Greatest Common Factor of 68100 and 68120?

Greatest common factor (GCF) of 68100 and 68120 is 20.

GCF(68100,68120) = 20

We will now calculate the prime factors of 68100 and 68120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68100 and 68120.

How to find the GCF of 68100 and 68120?

We will first find the prime factorization of 68100 and 68120. After we will calculate the factors of 68100 and 68120 and find the biggest common factor number .

Step-1: Prime Factorization of 68100

Prime factors of 68100 are 2, 3, 5, 227. Prime factorization of 68100 in exponential form is:

68100 = 2² × 3¹ × 5² × 227¹

Step-2: Prime Factorization of 68120

Prime factors of 68120 are 2, 5, 13, 131. Prime factorization of 68120 in exponential form is:

68120 = 2³ × 5¹ × 13¹ × 131¹

Step-3: Factors of 68100

List of positive integer factors of 68100 that divides 68100 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 227, 300, 454, 681, 908, 1135, 1362, 2270, 2724, 3405, 4540, 5675, 6810, 11350, 13620, 17025, 22700, 34050

Step-4: Factors of 68120

List of positive integer factors of 68120 that divides 68100 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 131, 260, 262, 520, 524, 655, 1048, 1310, 1703, 2620, 3406, 5240, 6812, 8515, 13624, 17030, 34060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68100 and 68120. The biggest common factor number is the GCF number.
So the greatest common factor 68100 and 68120 is 20.

Also check out the Least Common Multiple of 68100 and 68120