What is the Greatest Common Factor of 69831 and 69840?

Greatest common factor (GCF) of 69831 and 69840 is 9.

GCF(69831,69840) = 9

We will now calculate the prime factors of 69831 and 69840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69831 and 69840.

How to find the GCF of 69831 and 69840?

We will first find the prime factorization of 69831 and 69840. After we will calculate the factors of 69831 and 69840 and find the biggest common factor number .

Step-1: Prime Factorization of 69831

Prime factors of 69831 are 3, 7759. Prime factorization of 69831 in exponential form is:

69831 = 3² × 7759¹

Step-2: Prime Factorization of 69840

Prime factors of 69840 are 2, 3, 5, 97. Prime factorization of 69840 in exponential form is:

69840 = 2⁴ × 3² × 5¹ × 97¹

Step-3: Factors of 69831

List of positive integer factors of 69831 that divides 69831 without a remainder.

1, 3, 9, 7759, 23277

Step-4: Factors of 69840

List of positive integer factors of 69840 that divides 69831 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 97, 120, 144, 180, 194, 240, 291, 360, 388, 485, 582, 720, 776, 873, 970, 1164, 1455, 1552, 1746, 1940, 2328, 2910, 3492, 3880, 4365, 4656, 5820, 6984, 7760, 8730, 11640, 13968, 17460, 23280, 34920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69831 and 69840. The biggest common factor number is the GCF number.
So the greatest common factor 69831 and 69840 is 9.

Also check out the Least Common Multiple of 69831 and 69840