What is the Greatest Common Factor of 69930 and 69941?

Greatest common factor (GCF) of 69930 and 69941 is 1.

GCF(69930,69941) = 1

We will now calculate the prime factors of 69930 and 69941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69930 and 69941.

How to find the GCF of 69930 and 69941?

We will first find the prime factorization of 69930 and 69941. After we will calculate the factors of 69930 and 69941 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 69941

Prime factors of 69941 are 69941. Prime factorization of 69941 in exponential form is:

69941 = 69941¹

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 69941

List of positive integer factors of 69941 that divides 69930 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69930 and 69941. The biggest common factor number is the GCF number.
So the greatest common factor 69930 and 69941 is 1.

Also check out the Least Common Multiple of 69930 and 69941