What is the Greatest Common Factor of 68164 and 68180?

Greatest common factor (GCF) of 68164 and 68180 is 4.

GCF(68164,68180) = 4

We will now calculate the prime factors of 68164 and 68180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68164 and 68180.

How to find the GCF of 68164 and 68180?

We will first find the prime factorization of 68164 and 68180. After we will calculate the factors of 68164 and 68180 and find the biggest common factor number .

Step-1: Prime Factorization of 68164

Prime factors of 68164 are 2, 17041. Prime factorization of 68164 in exponential form is:

68164 = 2² × 17041¹

Step-2: Prime Factorization of 68180

Prime factors of 68180 are 2, 5, 7, 487. Prime factorization of 68180 in exponential form is:

68180 = 2² × 5¹ × 7¹ × 487¹

Step-3: Factors of 68164

List of positive integer factors of 68164 that divides 68164 without a remainder.

1, 2, 4, 17041, 34082

Step-4: Factors of 68180

List of positive integer factors of 68180 that divides 68164 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 487, 974, 1948, 2435, 3409, 4870, 6818, 9740, 13636, 17045, 34090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68164 and 68180. The biggest common factor number is the GCF number.
So the greatest common factor 68164 and 68180 is 4.

Also check out the Least Common Multiple of 68164 and 68180