What is the Greatest Common Factor of 69729 and 69740?

Greatest common factor (GCF) of 69729 and 69740 is 11.

GCF(69729,69740) = 11

We will now calculate the prime factors of 69729 and 69740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69729 and 69740.

How to find the GCF of 69729 and 69740?

We will first find the prime factorization of 69729 and 69740. After we will calculate the factors of 69729 and 69740 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 69740

Prime factors of 69740 are 2, 5, 11, 317. Prime factorization of 69740 in exponential form is:

69740 = 2² × 5¹ × 11¹ × 317¹

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 69740

List of positive integer factors of 69740 that divides 69729 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 317, 634, 1268, 1585, 3170, 3487, 6340, 6974, 13948, 17435, 34870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69729 and 69740. The biggest common factor number is the GCF number.
So the greatest common factor 69729 and 69740 is 11.

Also check out the Least Common Multiple of 69729 and 69740