What is the Greatest Common Factor of 69986 and 69997?

Greatest common factor (GCF) of 69986 and 69997 is 1.

GCF(69986,69997) = 1

We will now calculate the prime factors of 69986 and 69997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69986 and 69997.

How to find the GCF of 69986 and 69997?

We will first find the prime factorization of 69986 and 69997. After we will calculate the factors of 69986 and 69997 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 69997

Prime factors of 69997 are 69997. Prime factorization of 69997 in exponential form is:

69997 = 69997¹

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 69997

List of positive integer factors of 69997 that divides 69986 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69986 and 69997. The biggest common factor number is the GCF number.
So the greatest common factor 69986 and 69997 is 1.

Also check out the Least Common Multiple of 69986 and 69997