What is the Greatest Common Factor of 67705 and 67725?

Greatest common factor (GCF) of 67705 and 67725 is 5.

GCF(67705,67725) = 5

We will now calculate the prime factors of 67705 and 67725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67705 and 67725.

How to find the GCF of 67705 and 67725?

We will first find the prime factorization of 67705 and 67725. After we will calculate the factors of 67705 and 67725 and find the biggest common factor number .

Step-1: Prime Factorization of 67705

Prime factors of 67705 are 5, 11, 1231. Prime factorization of 67705 in exponential form is:

67705 = 5¹ × 11¹ × 1231¹

Step-2: Prime Factorization of 67725

Prime factors of 67725 are 3, 5, 7, 43. Prime factorization of 67725 in exponential form is:

67725 = 3² × 5² × 7¹ × 43¹

Step-3: Factors of 67705

List of positive integer factors of 67705 that divides 67705 without a remainder.

1, 5, 11, 55, 1231, 6155, 13541

Step-4: Factors of 67725

List of positive integer factors of 67725 that divides 67705 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 43, 45, 63, 75, 105, 129, 175, 215, 225, 301, 315, 387, 525, 645, 903, 1075, 1505, 1575, 1935, 2709, 3225, 4515, 7525, 9675, 13545, 22575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67705 and 67725. The biggest common factor number is the GCF number.
So the greatest common factor 67705 and 67725 is 5.

Also check out the Least Common Multiple of 67705 and 67725