What is the Greatest Common Factor of 68425 and 68442?

Greatest common factor (GCF) of 68425 and 68442 is 17.

GCF(68425,68442) = 17

We will now calculate the prime factors of 68425 and 68442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68425 and 68442.

How to find the GCF of 68425 and 68442?

We will first find the prime factorization of 68425 and 68442. After we will calculate the factors of 68425 and 68442 and find the biggest common factor number .

Step-1: Prime Factorization of 68425

Prime factors of 68425 are 5, 7, 17, 23. Prime factorization of 68425 in exponential form is:

68425 = 5² × 7¹ × 17¹ × 23¹

Step-2: Prime Factorization of 68442

Prime factors of 68442 are 2, 3, 11, 17, 61. Prime factorization of 68442 in exponential form is:

68442 = 2¹ × 3¹ × 11¹ × 17¹ × 61¹

Step-3: Factors of 68425

List of positive integer factors of 68425 that divides 68425 without a remainder.

1, 5, 7, 17, 23, 25, 35, 85, 115, 119, 161, 175, 391, 425, 575, 595, 805, 1955, 2737, 2975, 4025, 9775, 13685

Step-4: Factors of 68442

List of positive integer factors of 68442 that divides 68425 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 61, 66, 102, 122, 183, 187, 366, 374, 561, 671, 1037, 1122, 1342, 2013, 2074, 3111, 4026, 6222, 11407, 22814, 34221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68425 and 68442. The biggest common factor number is the GCF number.
So the greatest common factor 68425 and 68442 is 17.

Also check out the Least Common Multiple of 68425 and 68442