What is the Greatest Common Factor of 68145 and 68152?

Greatest common factor (GCF) of 68145 and 68152 is 7.

GCF(68145,68152) = 7

We will now calculate the prime factors of 68145 and 68152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68145 and 68152.

How to find the GCF of 68145 and 68152?

We will first find the prime factorization of 68145 and 68152. After we will calculate the factors of 68145 and 68152 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68152

Prime factors of 68152 are 2, 7, 1217. Prime factorization of 68152 in exponential form is:

68152 = 2³ × 7¹ × 1217¹

Step-3: Factors of 68145

List of positive integer factors of 68145 that divides 68145 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

Step-4: Factors of 68152

List of positive integer factors of 68152 that divides 68145 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1217, 2434, 4868, 8519, 9736, 17038, 34076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68145 and 68152. The biggest common factor number is the GCF number.
So the greatest common factor 68145 and 68152 is 7.

Also check out the Least Common Multiple of 68145 and 68152