What is the Greatest Common Factor of 69675 and 69687?

Greatest common factor (GCF) of 69675 and 69687 is 3.

GCF(69675,69687) = 3

We will now calculate the prime factors of 69675 and 69687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69675 and 69687.

How to find the GCF of 69675 and 69687?

We will first find the prime factorization of 69675 and 69687. After we will calculate the factors of 69675 and 69687 and find the biggest common factor number .

Step-1: Prime Factorization of 69675

Prime factors of 69675 are 3, 5, 929. Prime factorization of 69675 in exponential form is:

69675 = 3¹ × 5² × 929¹

Step-2: Prime Factorization of 69687

Prime factors of 69687 are 3, 29, 89. Prime factorization of 69687 in exponential form is:

69687 = 3³ × 29¹ × 89¹

Step-3: Factors of 69675

List of positive integer factors of 69675 that divides 69675 without a remainder.

1, 3, 5, 15, 25, 75, 929, 2787, 4645, 13935, 23225

Step-4: Factors of 69687

List of positive integer factors of 69687 that divides 69675 without a remainder.

1, 3, 9, 27, 29, 87, 89, 261, 267, 783, 801, 2403, 2581, 7743, 23229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69675 and 69687. The biggest common factor number is the GCF number.
So the greatest common factor 69675 and 69687 is 3.

Also check out the Least Common Multiple of 69675 and 69687