What is the Greatest Common Factor of 67725 and 67729?

Greatest common factor (GCF) of 67725 and 67729 is 1.

GCF(67725,67729) = 1

We will now calculate the prime factors of 67725 and 67729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67725 and 67729.

How to find the GCF of 67725 and 67729?

We will first find the prime factorization of 67725 and 67729. After we will calculate the factors of 67725 and 67729 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 67729

Prime factors of 67729 are 89, 761. Prime factorization of 67729 in exponential form is:

67729 = 89¹ × 761¹

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 67729

List of positive integer factors of 67729 that divides 67725 without a remainder.

1, 89, 761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67725 and 67729. The biggest common factor number is the GCF number.
So the greatest common factor 67725 and 67729 is 1.

Also check out the Least Common Multiple of 67725 and 67729