What is the Greatest Common Factor of 69863 and 69874?

Greatest common factor (GCF) of 69863 and 69874 is 1.

GCF(69863,69874) = 1

We will now calculate the prime factors of 69863 and 69874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69863 and 69874.

How to find the GCF of 69863 and 69874?

We will first find the prime factorization of 69863 and 69874. After we will calculate the factors of 69863 and 69874 and find the biggest common factor number .

Step-1: Prime Factorization of 69863

Prime factors of 69863 are 19, 3677. Prime factorization of 69863 in exponential form is:

69863 = 19¹ × 3677¹

Step-2: Prime Factorization of 69874

Prime factors of 69874 are 2, 7, 23, 31. Prime factorization of 69874 in exponential form is:

69874 = 2¹ × 7² × 23¹ × 31¹

Step-3: Factors of 69863

List of positive integer factors of 69863 that divides 69863 without a remainder.

1, 19, 3677

Step-4: Factors of 69874

List of positive integer factors of 69874 that divides 69863 without a remainder.

1, 2, 7, 14, 23, 31, 46, 49, 62, 98, 161, 217, 322, 434, 713, 1127, 1426, 1519, 2254, 3038, 4991, 9982, 34937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69863 and 69874. The biggest common factor number is the GCF number.
So the greatest common factor 69863 and 69874 is 1.

Also check out the Least Common Multiple of 69863 and 69874