What is the Greatest Common Factor of 71380 and 71393?

Greatest common factor (GCF) of 71380 and 71393 is 1.

GCF(71380,71393) = 1

We will now calculate the prime factors of 71380 and 71393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71380 and 71393.

How to find the GCF of 71380 and 71393?

We will first find the prime factorization of 71380 and 71393. After we will calculate the factors of 71380 and 71393 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 71393

Prime factors of 71393 are 7, 31, 47. Prime factorization of 71393 in exponential form is:

71393 = 7² × 31¹ × 47¹

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 71393

List of positive integer factors of 71393 that divides 71380 without a remainder.

1, 7, 31, 47, 49, 217, 329, 1457, 1519, 2303, 10199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71380 and 71393. The biggest common factor number is the GCF number.
So the greatest common factor 71380 and 71393 is 1.

Also check out the Least Common Multiple of 71380 and 71393