What is the Greatest Common Factor of 67725 and 67738?

Greatest common factor (GCF) of 67725 and 67738 is 1.

GCF(67725,67738) = 1

We will now calculate the prime factors of 67725 and 67738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67725 and 67738.

How to find the GCF of 67725 and 67738?

We will first find the prime factorization of 67725 and 67738. After we will calculate the factors of 67725 and 67738 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67738

Prime factors of 67738 are 2, 11, 3079. Prime factorization of 67738 in exponential form is:

67738 = 2¹ × 11¹ × 3079¹

Step-3: Factors of 67725

List of positive integer factors of 67725 that divides 67725 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

Step-4: Factors of 67738

List of positive integer factors of 67738 that divides 67725 without a remainder.

1, 2, 11, 22, 3079, 6158, 33869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67725 and 67738. The biggest common factor number is the GCF number.
So the greatest common factor 67725 and 67738 is 1.

Also check out the Least Common Multiple of 67725 and 67738