What is the Greatest Common Factor of 69840 and 69860?

Greatest common factor (GCF) of 69840 and 69860 is 20.

GCF(69840,69860) = 20

We will now calculate the prime factors of 69840 and 69860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69840 and 69860.

How to find the GCF of 69840 and 69860?

We will first find the prime factorization of 69840 and 69860. After we will calculate the factors of 69840 and 69860 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 69860

Prime factors of 69860 are 2, 5, 7, 499. Prime factorization of 69860 in exponential form is:

69860 = 2² × 5¹ × 7¹ × 499¹

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 69860

List of positive integer factors of 69860 that divides 69840 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 499, 998, 1996, 2495, 3493, 4990, 6986, 9980, 13972, 17465, 34930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69840 and 69860. The biggest common factor number is the GCF number.
So the greatest common factor 69840 and 69860 is 20.

Also check out the Least Common Multiple of 69840 and 69860