What is the Greatest Common Factor of 67904 and 67914?

Greatest common factor (GCF) of 67904 and 67914 is 2.

GCF(67904,67914) = 2

We will now calculate the prime factors of 67904 and 67914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67904 and 67914.

How to find the GCF of 67904 and 67914?

We will first find the prime factorization of 67904 and 67914. After we will calculate the factors of 67904 and 67914 and find the biggest common factor number .

Step-1: Prime Factorization of 67904

Prime factors of 67904 are 2, 1061. Prime factorization of 67904 in exponential form is:

67904 = 2⁶ × 1061¹

Step-2: Prime Factorization of 67914

Prime factors of 67914 are 2, 3, 7, 11. Prime factorization of 67914 in exponential form is:

67914 = 2¹ × 3² × 7³ × 11¹

Step-3: Factors of 67904

List of positive integer factors of 67904 that divides 67904 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1061, 2122, 4244, 8488, 16976, 33952

Step-4: Factors of 67914

List of positive integer factors of 67914 that divides 67904 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 49, 63, 66, 77, 98, 99, 126, 147, 154, 198, 231, 294, 343, 441, 462, 539, 686, 693, 882, 1029, 1078, 1386, 1617, 2058, 3087, 3234, 3773, 4851, 6174, 7546, 9702, 11319, 22638, 33957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67904 and 67914. The biggest common factor number is the GCF number.
So the greatest common factor 67904 and 67914 is 2.

Also check out the Least Common Multiple of 67904 and 67914