What is the Greatest Common Factor of 69999 and 70012?

Greatest common factor (GCF) of 69999 and 70012 is 1.

GCF(69999,70012) = 1

We will now calculate the prime factors of 69999 and 70012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69999 and 70012.

How to find the GCF of 69999 and 70012?

We will first find the prime factorization of 69999 and 70012. After we will calculate the factors of 69999 and 70012 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 70012

Prime factors of 70012 are 2, 23, 761. Prime factorization of 70012 in exponential form is:

70012 = 2² × 23¹ × 761¹

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 70012

List of positive integer factors of 70012 that divides 69999 without a remainder.

1, 2, 4, 23, 46, 92, 761, 1522, 3044, 17503, 35006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69999 and 70012. The biggest common factor number is the GCF number.
So the greatest common factor 69999 and 70012 is 1.

Also check out the Least Common Multiple of 69999 and 70012