What is the Greatest Common Factor of 68360 and 68372?

Greatest common factor (GCF) of 68360 and 68372 is 4.

GCF(68360,68372) = 4

We will now calculate the prime factors of 68360 and 68372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68360 and 68372.

How to find the GCF of 68360 and 68372?

We will first find the prime factorization of 68360 and 68372. After we will calculate the factors of 68360 and 68372 and find the biggest common factor number .

Step-1: Prime Factorization of 68360

Prime factors of 68360 are 2, 5, 1709. Prime factorization of 68360 in exponential form is:

68360 = 2³ × 5¹ × 1709¹

Step-2: Prime Factorization of 68372

Prime factors of 68372 are 2, 17093. Prime factorization of 68372 in exponential form is:

68372 = 2² × 17093¹

Step-3: Factors of 68360

List of positive integer factors of 68360 that divides 68360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1709, 3418, 6836, 8545, 13672, 17090, 34180

Step-4: Factors of 68372

List of positive integer factors of 68372 that divides 68360 without a remainder.

1, 2, 4, 17093, 34186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68360 and 68372. The biggest common factor number is the GCF number.
So the greatest common factor 68360 and 68372 is 4.

Also check out the Least Common Multiple of 68360 and 68372