What is the Greatest Common Factor of 68370 and 68380?

Greatest common factor (GCF) of 68370 and 68380 is 10.

GCF(68370,68380) = 10

We will now calculate the prime factors of 68370 and 68380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68370 and 68380.

How to find the GCF of 68370 and 68380?

We will first find the prime factorization of 68370 and 68380. After we will calculate the factors of 68370 and 68380 and find the biggest common factor number .

Step-1: Prime Factorization of 68370

Prime factors of 68370 are 2, 3, 5, 43, 53. Prime factorization of 68370 in exponential form is:

68370 = 2¹ × 3¹ × 5¹ × 43¹ × 53¹

Step-2: Prime Factorization of 68380

Prime factors of 68380 are 2, 5, 13, 263. Prime factorization of 68380 in exponential form is:

68380 = 2² × 5¹ × 13¹ × 263¹

Step-3: Factors of 68370

List of positive integer factors of 68370 that divides 68370 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 43, 53, 86, 106, 129, 159, 215, 258, 265, 318, 430, 530, 645, 795, 1290, 1590, 2279, 4558, 6837, 11395, 13674, 22790, 34185

Step-4: Factors of 68380

List of positive integer factors of 68380 that divides 68370 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 263, 526, 1052, 1315, 2630, 3419, 5260, 6838, 13676, 17095, 34190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68370 and 68380. The biggest common factor number is the GCF number.
So the greatest common factor 68370 and 68380 is 10.

Also check out the Least Common Multiple of 68370 and 68380