What is the Greatest Common Factor of 69999 and 70014?

Greatest common factor (GCF) of 69999 and 70014 is 3.

GCF(69999,70014) = 3

We will now calculate the prime factors of 69999 and 70014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69999 and 70014.

How to find the GCF of 69999 and 70014?

We will first find the prime factorization of 69999 and 70014. After we will calculate the factors of 69999 and 70014 and find the biggest common factor number .

Step-1: Prime Factorization of 69999

Prime factors of 69999 are 3, 23333. Prime factorization of 69999 in exponential form is:

69999 = 3¹ × 23333¹

Step-2: Prime Factorization of 70014

Prime factors of 70014 are 2, 3, 7, 1667. Prime factorization of 70014 in exponential form is:

70014 = 2¹ × 3¹ × 7¹ × 1667¹

Step-3: Factors of 69999

List of positive integer factors of 69999 that divides 69999 without a remainder.

1, 3, 23333

Step-4: Factors of 70014

List of positive integer factors of 70014 that divides 69999 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1667, 3334, 5001, 10002, 11669, 23338, 35007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69999 and 70014. The biggest common factor number is the GCF number.
So the greatest common factor 69999 and 70014 is 3.

Also check out the Least Common Multiple of 69999 and 70014