What is the Greatest Common Factor of 69924 and 69930?

Greatest common factor (GCF) of 69924 and 69930 is 6.

GCF(69924,69930) = 6

We will now calculate the prime factors of 69924 and 69930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69924 and 69930.

How to find the GCF of 69924 and 69930?

We will first find the prime factorization of 69924 and 69930. After we will calculate the factors of 69924 and 69930 and find the biggest common factor number .

Step-1: Prime Factorization of 69924

Prime factors of 69924 are 2, 3, 5827. Prime factorization of 69924 in exponential form is:

69924 = 2² × 3¹ × 5827¹

Step-2: Prime Factorization of 69930

Prime factors of 69930 are 2, 3, 5, 7, 37. Prime factorization of 69930 in exponential form is:

69930 = 2¹ × 3³ × 5¹ × 7¹ × 37¹

Step-3: Factors of 69924

List of positive integer factors of 69924 that divides 69924 without a remainder.

1, 2, 3, 4, 6, 12, 5827, 11654, 17481, 23308, 34962

Step-4: Factors of 69930

List of positive integer factors of 69930 that divides 69924 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 37, 42, 45, 54, 63, 70, 74, 90, 105, 111, 126, 135, 185, 189, 210, 222, 259, 270, 315, 333, 370, 378, 518, 555, 630, 666, 777, 945, 999, 1110, 1295, 1554, 1665, 1890, 1998, 2331, 2590, 3330, 3885, 4662, 4995, 6993, 7770, 9990, 11655, 13986, 23310, 34965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69924 and 69930. The biggest common factor number is the GCF number.
So the greatest common factor 69924 and 69930 is 6.

Also check out the Least Common Multiple of 69924 and 69930