What is the Greatest Common Factor of 69840 and 69851?

Greatest common factor (GCF) of 69840 and 69851 is 1.

GCF(69840,69851) = 1

We will now calculate the prime factors of 69840 and 69851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69840 and 69851.

How to find the GCF of 69840 and 69851?

We will first find the prime factorization of 69840 and 69851. After we will calculate the factors of 69840 and 69851 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 69851

Prime factors of 69851 are 23, 3037. Prime factorization of 69851 in exponential form is:

69851 = 23¹ × 3037¹

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 69851

List of positive integer factors of 69851 that divides 69840 without a remainder.

1, 23, 3037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69840 and 69851. The biggest common factor number is the GCF number.
So the greatest common factor 69840 and 69851 is 1.

Also check out the Least Common Multiple of 69840 and 69851