What is the Greatest Common Factor of 68120 and 68133?

Greatest common factor (GCF) of 68120 and 68133 is 13.

GCF(68120,68133) = 13

We will now calculate the prime factors of 68120 and 68133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68120 and 68133.

How to find the GCF of 68120 and 68133?

We will first find the prime factorization of 68120 and 68133. After we will calculate the factors of 68120 and 68133 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68133

Prime factors of 68133 are 3, 13, 1747. Prime factorization of 68133 in exponential form is:

68133 = 3¹ × 13¹ × 1747¹

Step-3: Factors of 68120

List of positive integer factors of 68120 that divides 68120 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

Step-4: Factors of 68133

List of positive integer factors of 68133 that divides 68120 without a remainder.

1, 3, 13, 39, 1747, 5241, 22711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68120 and 68133. The biggest common factor number is the GCF number.
So the greatest common factor 68120 and 68133 is 13.

Also check out the Least Common Multiple of 68120 and 68133