What is the Greatest Common Factor of 87390 and 87401?

Greatest common factor (GCF) of 87390 and 87401 is 1.

GCF(87390,87401) = 1

We will now calculate the prime factors of 87390 and 87401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87390 and 87401.

How to find the GCF of 87390 and 87401?

We will first find the prime factorization of 87390 and 87401. After we will calculate the factors of 87390 and 87401 and find the biggest common factor number .

Step-1: Prime Factorization of 87390

Prime factors of 87390 are 2, 3, 5, 971. Prime factorization of 87390 in exponential form is:

87390 = 2¹ × 3² × 5¹ × 971¹

Step-2: Prime Factorization of 87401

Prime factors of 87401 are 71, 1231. Prime factorization of 87401 in exponential form is:

87401 = 71¹ × 1231¹

Step-3: Factors of 87390

List of positive integer factors of 87390 that divides 87390 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 971, 1942, 2913, 4855, 5826, 8739, 9710, 14565, 17478, 29130, 43695

Step-4: Factors of 87401

List of positive integer factors of 87401 that divides 87390 without a remainder.

1, 71, 1231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87390 and 87401. The biggest common factor number is the GCF number.
So the greatest common factor 87390 and 87401 is 1.

Also check out the Least Common Multiple of 87390 and 87401