What is the Greatest Common Factor of 69729 and 69738?

Greatest common factor (GCF) of 69729 and 69738 is 3.

GCF(69729,69738) = 3

We will now calculate the prime factors of 69729 and 69738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69729 and 69738.

How to find the GCF of 69729 and 69738?

We will first find the prime factorization of 69729 and 69738. After we will calculate the factors of 69729 and 69738 and find the biggest common factor number .

Step-1: Prime Factorization of 69729

Prime factors of 69729 are 3, 11, 2113. Prime factorization of 69729 in exponential form is:

69729 = 3¹ × 11¹ × 2113¹

Step-2: Prime Factorization of 69738

Prime factors of 69738 are 2, 3, 59, 197. Prime factorization of 69738 in exponential form is:

69738 = 2¹ × 3¹ × 59¹ × 197¹

Step-3: Factors of 69729

List of positive integer factors of 69729 that divides 69729 without a remainder.

1, 3, 11, 33, 2113, 6339, 23243

Step-4: Factors of 69738

List of positive integer factors of 69738 that divides 69729 without a remainder.

1, 2, 3, 6, 59, 118, 177, 197, 354, 394, 591, 1182, 11623, 23246, 34869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69729 and 69738. The biggest common factor number is the GCF number.
So the greatest common factor 69729 and 69738 is 3.

Also check out the Least Common Multiple of 69729 and 69738