What is the Greatest Common Factor of 69930 and 69948?

Greatest common factor (GCF) of 69930 and 69948 is 18.

GCF(69930,69948) = 18

We will now calculate the prime factors of 69930 and 69948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69930 and 69948.

How to find the GCF of 69930 and 69948?

We will first find the prime factorization of 69930 and 69948. After we will calculate the factors of 69930 and 69948 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69948

Prime factors of 69948 are 2, 3, 29, 67. Prime factorization of 69948 in exponential form is:

69948 = 2² × 3² × 29¹ × 67¹

Step-3: Factors of 69930

List of positive integer factors of 69930 that divides 69930 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

Step-4: Factors of 69948

List of positive integer factors of 69948 that divides 69930 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 67, 87, 116, 134, 174, 201, 261, 268, 348, 402, 522, 603, 804, 1044, 1206, 1943, 2412, 3886, 5829, 7772, 11658, 17487, 23316, 34974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69930 and 69948. The biggest common factor number is the GCF number.
So the greatest common factor 69930 and 69948 is 18.

Also check out the Least Common Multiple of 69930 and 69948