What is the Greatest Common Factor of 69840 and 69850?

Greatest common factor (GCF) of 69840 and 69850 is 10.

GCF(69840,69850) = 10

We will now calculate the prime factors of 69840 and 69850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69840 and 69850.

How to find the GCF of 69840 and 69850?

We will first find the prime factorization of 69840 and 69850. After we will calculate the factors of 69840 and 69850 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 69850

Prime factors of 69850 are 2, 5, 11, 127. Prime factorization of 69850 in exponential form is:

69850 = 2¹ × 5² × 11¹ × 127¹

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 69850

List of positive integer factors of 69850 that divides 69840 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 127, 254, 275, 550, 635, 1270, 1397, 2794, 3175, 6350, 6985, 13970, 34925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69840 and 69850. The biggest common factor number is the GCF number.
So the greatest common factor 69840 and 69850 is 10.

Also check out the Least Common Multiple of 69840 and 69850