What is the Greatest Common Factor of 70460 and 70471?

Greatest common factor (GCF) of 70460 and 70471 is 1.

GCF(70460,70471) = 1

We will now calculate the prime factors of 70460 and 70471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70460 and 70471.

How to find the GCF of 70460 and 70471?

We will first find the prime factorization of 70460 and 70471. After we will calculate the factors of 70460 and 70471 and find the biggest common factor number .

Step-1: Prime Factorization of 70460

Prime factors of 70460 are 2, 5, 13, 271. Prime factorization of 70460 in exponential form is:

70460 = 2² × 5¹ × 13¹ × 271¹

Step-2: Prime Factorization of 70471

Prime factors of 70471 are 19, 3709. Prime factorization of 70471 in exponential form is:

70471 = 19¹ × 3709¹

Step-3: Factors of 70460

List of positive integer factors of 70460 that divides 70460 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 271, 542, 1084, 1355, 2710, 3523, 5420, 7046, 14092, 17615, 35230

Step-4: Factors of 70471

List of positive integer factors of 70471 that divides 70460 without a remainder.

1, 19, 3709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70460 and 70471. The biggest common factor number is the GCF number.
So the greatest common factor 70460 and 70471 is 1.

Also check out the Least Common Multiple of 70460 and 70471