What is the Greatest Common Factor of 71240 and 71245?

Greatest common factor (GCF) of 71240 and 71245 is 5.

GCF(71240,71245) = 5

We will now calculate the prime factors of 71240 and 71245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71240 and 71245.

How to find the GCF of 71240 and 71245?

We will first find the prime factorization of 71240 and 71245. After we will calculate the factors of 71240 and 71245 and find the biggest common factor number .

Step-1: Prime Factorization of 71240

Prime factors of 71240 are 2, 5, 13, 137. Prime factorization of 71240 in exponential form is:

71240 = 2³ × 5¹ × 13¹ × 137¹

Step-2: Prime Factorization of 71245

Prime factors of 71245 are 5, 14249. Prime factorization of 71245 in exponential form is:

71245 = 5¹ × 14249¹

Step-3: Factors of 71240

List of positive integer factors of 71240 that divides 71240 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 137, 260, 274, 520, 548, 685, 1096, 1370, 1781, 2740, 3562, 5480, 7124, 8905, 14248, 17810, 35620

Step-4: Factors of 71245

List of positive integer factors of 71245 that divides 71240 without a remainder.

1, 5, 14249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71240 and 71245. The biggest common factor number is the GCF number.
So the greatest common factor 71240 and 71245 is 5.

Also check out the Least Common Multiple of 71240 and 71245