What is the Greatest Common Factor of 69975 and 69993?

Greatest common factor (GCF) of 69975 and 69993 is 9.

GCF(69975,69993) = 9

We will now calculate the prime factors of 69975 and 69993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69975 and 69993.

How to find the GCF of 69975 and 69993?

We will first find the prime factorization of 69975 and 69993. After we will calculate the factors of 69975 and 69993 and find the biggest common factor number .

Step-1: Prime Factorization of 69975

Prime factors of 69975 are 3, 5, 311. Prime factorization of 69975 in exponential form is:

69975 = 3² × 5² × 311¹

Step-2: Prime Factorization of 69993

Prime factors of 69993 are 3, 7, 11, 101. Prime factorization of 69993 in exponential form is:

69993 = 3² × 7¹ × 11¹ × 101¹

Step-3: Factors of 69975

List of positive integer factors of 69975 that divides 69975 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 311, 933, 1555, 2799, 4665, 7775, 13995, 23325

Step-4: Factors of 69993

List of positive integer factors of 69993 that divides 69975 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 101, 231, 303, 693, 707, 909, 1111, 2121, 3333, 6363, 7777, 9999, 23331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69975 and 69993. The biggest common factor number is the GCF number.
So the greatest common factor 69975 and 69993 is 9.

Also check out the Least Common Multiple of 69975 and 69993