What is the Greatest Common Factor of 68425 and 68440?

Greatest common factor (GCF) of 68425 and 68440 is 5.

GCF(68425,68440) = 5

We will now calculate the prime factors of 68425 and 68440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68425 and 68440.

How to find the GCF of 68425 and 68440?

We will first find the prime factorization of 68425 and 68440. After we will calculate the factors of 68425 and 68440 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 68440

Prime factors of 68440 are 2, 5, 29, 59. Prime factorization of 68440 in exponential form is:

68440 = 2³ × 5¹ × 29¹ × 59¹

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 68440

List of positive integer factors of 68440 that divides 68425 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 59, 116, 118, 145, 232, 236, 290, 295, 472, 580, 590, 1160, 1180, 1711, 2360, 3422, 6844, 8555, 13688, 17110, 34220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68425 and 68440. The biggest common factor number is the GCF number.
So the greatest common factor 68425 and 68440 is 5.

Also check out the Least Common Multiple of 68425 and 68440