What is the Greatest Common Factor of 68420 and 68425?

Greatest common factor (GCF) of 68420 and 68425 is 5.

GCF(68420,68425) = 5

We will now calculate the prime factors of 68420 and 68425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68420 and 68425.

How to find the GCF of 68420 and 68425?

We will first find the prime factorization of 68420 and 68425. After we will calculate the factors of 68420 and 68425 and find the biggest common factor number .

Step-1: Prime Factorization of 68420

Prime factors of 68420 are 2, 5, 11, 311. Prime factorization of 68420 in exponential form is:

68420 = 2² × 5¹ × 11¹ × 311¹

Step-2: 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-3: Factors of 68420

List of positive integer factors of 68420 that divides 68420 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 311, 622, 1244, 1555, 3110, 3421, 6220, 6842, 13684, 17105, 34210

Step-4: Factors of 68425

List of positive integer factors of 68425 that divides 68420 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68420 and 68425. The biggest common factor number is the GCF number.
So the greatest common factor 68420 and 68425 is 5.

Also check out the Least Common Multiple of 68420 and 68425