What is the Greatest Common Factor of 35872 and 35889?

Greatest common factor (GCF) of 35872 and 35889 is 1.

GCF(35872,35889) = 1

We will now calculate the prime factors of 35872 and 35889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35872 and 35889.

How to find the GCF of 35872 and 35889?

We will first find the prime factorization of 35872 and 35889. After we will calculate the factors of 35872 and 35889 and find the biggest common factor number .

Step-1: Prime Factorization of 35872

Prime factors of 35872 are 2, 19, 59. Prime factorization of 35872 in exponential form is:

35872 = 2⁵ × 19¹ × 59¹

Step-2: Prime Factorization of 35889

Prime factors of 35889 are 3, 7, 1709. Prime factorization of 35889 in exponential form is:

35889 = 3¹ × 7¹ × 1709¹

Step-3: Factors of 35872

List of positive integer factors of 35872 that divides 35872 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 59, 76, 118, 152, 236, 304, 472, 608, 944, 1121, 1888, 2242, 4484, 8968, 17936

Step-4: Factors of 35889

List of positive integer factors of 35889 that divides 35872 without a remainder.

1, 3, 7, 21, 1709, 5127, 11963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35872 and 35889. The biggest common factor number is the GCF number.
So the greatest common factor 35872 and 35889 is 1.

Also check out the Least Common Multiple of 35872 and 35889