What is the Greatest Common Factor of 69687 and 69693?

Greatest common factor (GCF) of 69687 and 69693 is 3.

GCF(69687,69693) = 3

We will now calculate the prime factors of 69687 and 69693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69687 and 69693.

How to find the GCF of 69687 and 69693?

We will first find the prime factorization of 69687 and 69693. After we will calculate the factors of 69687 and 69693 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69693

Prime factors of 69693 are 3, 13, 1787. Prime factorization of 69693 in exponential form is:

69693 = 3¹ × 13¹ × 1787¹

Step-3: Factors of 69687

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

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

Step-4: Factors of 69693

List of positive integer factors of 69693 that divides 69687 without a remainder.

1, 3, 13, 39, 1787, 5361, 23231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69687 and 69693. The biggest common factor number is the GCF number.
So the greatest common factor 69687 and 69693 is 3.

Also check out the Least Common Multiple of 69687 and 69693