What is the Greatest Common Factor of 69840 and 69854?

Greatest common factor (GCF) of 69840 and 69854 is 2.

GCF(69840,69854) = 2

We will now calculate the prime factors of 69840 and 69854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69840 and 69854.

How to find the GCF of 69840 and 69854?

We will first find the prime factorization of 69840 and 69854. After we will calculate the factors of 69840 and 69854 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69854

Prime factors of 69854 are 2, 53, 659. Prime factorization of 69854 in exponential form is:

69854 = 2¹ × 53¹ × 659¹

Step-3: Factors of 69840

List of positive integer factors of 69840 that divides 69840 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

Step-4: Factors of 69854

List of positive integer factors of 69854 that divides 69840 without a remainder.

1, 2, 53, 106, 659, 1318, 34927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69840 and 69854. The biggest common factor number is the GCF number.
So the greatest common factor 69840 and 69854 is 2.

Also check out the Least Common Multiple of 69840 and 69854