What is the Greatest Common Factor of 69993 and 70007?

Greatest common factor (GCF) of 69993 and 70007 is 7.

GCF(69993,70007) = 7

We will now calculate the prime factors of 69993 and 70007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69993 and 70007.

How to find the GCF of 69993 and 70007?

We will first find the prime factorization of 69993 and 70007. After we will calculate the factors of 69993 and 70007 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70007

Prime factors of 70007 are 7, 73, 137. Prime factorization of 70007 in exponential form is:

70007 = 7¹ × 73¹ × 137¹

Step-3: Factors of 69993

List of positive integer factors of 69993 that divides 69993 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

Step-4: Factors of 70007

List of positive integer factors of 70007 that divides 69993 without a remainder.

1, 7, 73, 137, 511, 959, 10001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69993 and 70007. The biggest common factor number is the GCF number.
So the greatest common factor 69993 and 70007 is 7.

Also check out the Least Common Multiple of 69993 and 70007