What is the Greatest Common Factor of 87379 and 87390?

Greatest common factor (GCF) of 87379 and 87390 is 1.

GCF(87379,87390) = 1

We will now calculate the prime factors of 87379 and 87390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87379 and 87390.

How to find the GCF of 87379 and 87390?

We will first find the prime factorization of 87379 and 87390. After we will calculate the factors of 87379 and 87390 and find the biggest common factor number .

Step-1: Prime Factorization of 87379

Prime factors of 87379 are 59, 1481. Prime factorization of 87379 in exponential form is:

87379 = 59¹ × 1481¹

Step-2: 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-3: Factors of 87379

List of positive integer factors of 87379 that divides 87379 without a remainder.

1, 59, 1481

Step-4: Factors of 87390

List of positive integer factors of 87390 that divides 87379 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87379 and 87390. The biggest common factor number is the GCF number.
So the greatest common factor 87379 and 87390 is 1.

Also check out the Least Common Multiple of 87379 and 87390