What is the Greatest Common Factor of 69930 and 69944?

Greatest common factor (GCF) of 69930 and 69944 is 14.

GCF(69930,69944) = 14

We will now calculate the prime factors of 69930 and 69944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69930 and 69944.

How to find the GCF of 69930 and 69944?

We will first find the prime factorization of 69930 and 69944. After we will calculate the factors of 69930 and 69944 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 69944

Prime factors of 69944 are 2, 7, 1249. Prime factorization of 69944 in exponential form is:

69944 = 2³ × 7¹ × 1249¹

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 69944

List of positive integer factors of 69944 that divides 69930 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1249, 2498, 4996, 8743, 9992, 17486, 34972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69930 and 69944. The biggest common factor number is the GCF number.
So the greatest common factor 69930 and 69944 is 14.

Also check out the Least Common Multiple of 69930 and 69944