What is the Greatest Common Factor of 69986 and 70001?

Greatest common factor (GCF) of 69986 and 70001 is 1.

GCF(69986,70001) = 1

We will now calculate the prime factors of 69986 and 70001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69986 and 70001.

How to find the GCF of 69986 and 70001?

We will first find the prime factorization of 69986 and 70001. After we will calculate the factors of 69986 and 70001 and find the biggest common factor number .

Step-1: Prime Factorization of 69986

Prime factors of 69986 are 2, 7, 4999. Prime factorization of 69986 in exponential form is:

69986 = 2¹ × 7¹ × 4999¹

Step-2: Prime Factorization of 70001

Prime factors of 70001 are 70001. Prime factorization of 70001 in exponential form is:

70001 = 70001¹

Step-3: Factors of 69986

List of positive integer factors of 69986 that divides 69986 without a remainder.

1, 2, 7, 14, 4999, 9998, 34993

Step-4: Factors of 70001

List of positive integer factors of 70001 that divides 69986 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69986 and 70001. The biggest common factor number is the GCF number.
So the greatest common factor 69986 and 70001 is 1.

Also check out the Least Common Multiple of 69986 and 70001