What is the Greatest Common Factor of 68138 and 68145?

Greatest common factor (GCF) of 68138 and 68145 is 7.

GCF(68138,68145) = 7

We will now calculate the prime factors of 68138 and 68145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68138 and 68145.

How to find the GCF of 68138 and 68145?

We will first find the prime factorization of 68138 and 68145. After we will calculate the factors of 68138 and 68145 and find the biggest common factor number .

Step-1: Prime Factorization of 68138

Prime factors of 68138 are 2, 7, 31, 157. Prime factorization of 68138 in exponential form is:

68138 = 2¹ × 7¹ × 31¹ × 157¹

Step-2: Prime Factorization of 68145

Prime factors of 68145 are 3, 5, 7, 11, 59. Prime factorization of 68145 in exponential form is:

68145 = 3¹ × 5¹ × 7¹ × 11¹ × 59¹

Step-3: Factors of 68138

List of positive integer factors of 68138 that divides 68138 without a remainder.

1, 2, 7, 14, 31, 62, 157, 217, 314, 434, 1099, 2198, 4867, 9734, 34069

Step-4: Factors of 68145

List of positive integer factors of 68145 that divides 68138 without a remainder.

1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 59, 77, 105, 165, 177, 231, 295, 385, 413, 649, 885, 1155, 1239, 1947, 2065, 3245, 4543, 6195, 9735, 13629, 22715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68138 and 68145. The biggest common factor number is the GCF number.
So the greatest common factor 68138 and 68145 is 7.

Also check out the Least Common Multiple of 68138 and 68145