What is the Greatest Common Factor of 89838 and 89854?

Greatest common factor (GCF) of 89838 and 89854 is 2.

GCF(89838,89854) = 2

We will now calculate the prime factors of 89838 and 89854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89838 and 89854.

How to find the GCF of 89838 and 89854?

We will first find the prime factorization of 89838 and 89854. After we will calculate the factors of 89838 and 89854 and find the biggest common factor number .

Step-1: Prime Factorization of 89838

Prime factors of 89838 are 2, 3, 7, 23, 31. Prime factorization of 89838 in exponential form is:

89838 = 2¹ × 3² × 7¹ × 23¹ × 31¹

Step-2: Prime Factorization of 89854

Prime factors of 89854 are 2, 44927. Prime factorization of 89854 in exponential form is:

89854 = 2¹ × 44927¹

Step-3: Factors of 89838

List of positive integer factors of 89838 that divides 89838 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 31, 42, 46, 62, 63, 69, 93, 126, 138, 161, 186, 207, 217, 279, 322, 414, 434, 483, 558, 651, 713, 966, 1302, 1426, 1449, 1953, 2139, 2898, 3906, 4278, 4991, 6417, 9982, 12834, 14973, 29946, 44919

Step-4: Factors of 89854

List of positive integer factors of 89854 that divides 89838 without a remainder.

1, 2, 44927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89838 and 89854. The biggest common factor number is the GCF number.
So the greatest common factor 89838 and 89854 is 2.

Also check out the Least Common Multiple of 89838 and 89854