What is the Greatest Common Factor of 87380 and 87390?

Greatest common factor (GCF) of 87380 and 87390 is 10.

GCF(87380,87390) = 10

We will now calculate the prime factors of 87380 and 87390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87380 and 87390.

How to find the GCF of 87380 and 87390?

We will first find the prime factorization of 87380 and 87390. After we will calculate the factors of 87380 and 87390 and find the biggest common factor number .

Step-1: Prime Factorization of 87380

Prime factors of 87380 are 2, 5, 17, 257. Prime factorization of 87380 in exponential form is:

87380 = 2² × 5¹ × 17¹ × 257¹

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 87380

List of positive integer factors of 87380 that divides 87380 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 257, 340, 514, 1028, 1285, 2570, 4369, 5140, 8738, 17476, 21845, 43690

Step-4: Factors of 87390

List of positive integer factors of 87390 that divides 87380 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 87380 and 87390. The biggest common factor number is the GCF number.
So the greatest common factor 87380 and 87390 is 10.

Also check out the Least Common Multiple of 87380 and 87390