What is the Greatest Common Factor of 69693 and 69702?

Greatest common factor (GCF) of 69693 and 69702 is 3.

GCF(69693,69702) = 3

We will now calculate the prime factors of 69693 and 69702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69693 and 69702.

How to find the GCF of 69693 and 69702?

We will first find the prime factorization of 69693 and 69702. After we will calculate the factors of 69693 and 69702 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69702

Prime factors of 69702 are 2, 3, 11617. Prime factorization of 69702 in exponential form is:

69702 = 2¹ × 3¹ × 11617¹

Step-3: Factors of 69693

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

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

Step-4: Factors of 69702

List of positive integer factors of 69702 that divides 69693 without a remainder.

1, 2, 3, 6, 11617, 23234, 34851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69693 and 69702. The biggest common factor number is the GCF number.
So the greatest common factor 69693 and 69702 is 3.

Also check out the Least Common Multiple of 69693 and 69702