What is the Greatest Common Factor of 67190 and 67208?

Greatest common factor (GCF) of 67190 and 67208 is 2.

GCF(67190,67208) = 2

We will now calculate the prime factors of 67190 and 67208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67190 and 67208.

How to find the GCF of 67190 and 67208?

We will first find the prime factorization of 67190 and 67208. After we will calculate the factors of 67190 and 67208 and find the biggest common factor number .

Step-1: Prime Factorization of 67190

Prime factors of 67190 are 2, 5, 6719. Prime factorization of 67190 in exponential form is:

67190 = 2¹ × 5¹ × 6719¹

Step-2: Prime Factorization of 67208

Prime factors of 67208 are 2, 31, 271. Prime factorization of 67208 in exponential form is:

67208 = 2³ × 31¹ × 271¹

Step-3: Factors of 67190

List of positive integer factors of 67190 that divides 67190 without a remainder.

1, 2, 5, 10, 6719, 13438, 33595

Step-4: Factors of 67208

List of positive integer factors of 67208 that divides 67190 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248, 271, 542, 1084, 2168, 8401, 16802, 33604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67190 and 67208. The biggest common factor number is the GCF number.
So the greatest common factor 67190 and 67208 is 2.

Also check out the Least Common Multiple of 67190 and 67208