What is the Greatest Common Factor of 71380 and 71385?

Greatest common factor (GCF) of 71380 and 71385 is 5.

GCF(71380,71385) = 5

We will now calculate the prime factors of 71380 and 71385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71380 and 71385.

How to find the GCF of 71380 and 71385?

We will first find the prime factorization of 71380 and 71385. After we will calculate the factors of 71380 and 71385 and find the biggest common factor number .

Step-1: Prime Factorization of 71380

Prime factors of 71380 are 2, 5, 43, 83. Prime factorization of 71380 in exponential form is:

71380 = 2² × 5¹ × 43¹ × 83¹

Step-2: Prime Factorization of 71385

Prime factors of 71385 are 3, 5, 4759. Prime factorization of 71385 in exponential form is:

71385 = 3¹ × 5¹ × 4759¹

Step-3: Factors of 71380

List of positive integer factors of 71380 that divides 71380 without a remainder.

1, 2, 4, 5, 10, 20, 43, 83, 86, 166, 172, 215, 332, 415, 430, 830, 860, 1660, 3569, 7138, 14276, 17845, 35690

Step-4: Factors of 71385

List of positive integer factors of 71385 that divides 71380 without a remainder.

1, 3, 5, 15, 4759, 14277, 23795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71380 and 71385. The biggest common factor number is the GCF number.
So the greatest common factor 71380 and 71385 is 5.

Also check out the Least Common Multiple of 71380 and 71385