What is the Greatest Common Factor of 69930 and 69945?

Greatest common factor (GCF) of 69930 and 69945 is 15.

GCF(69930,69945) = 15

We will now calculate the prime factors of 69930 and 69945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69930 and 69945.

How to find the GCF of 69930 and 69945?

We will first find the prime factorization of 69930 and 69945. After we will calculate the factors of 69930 and 69945 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 69945

Prime factors of 69945 are 3, 5, 4663. Prime factorization of 69945 in exponential form is:

69945 = 3¹ × 5¹ × 4663¹

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 69945

List of positive integer factors of 69945 that divides 69930 without a remainder.

1, 3, 5, 15, 4663, 13989, 23315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69930 and 69945. The biggest common factor number is the GCF number.
So the greatest common factor 69930 and 69945 is 15.

Also check out the Least Common Multiple of 69930 and 69945