What is the Greatest Common Factor of 70447 and 70460?

Greatest common factor (GCF) of 70447 and 70460 is 13.

GCF(70447,70460) = 13

We will now calculate the prime factors of 70447 and 70460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70447 and 70460.

How to find the GCF of 70447 and 70460?

We will first find the prime factorization of 70447 and 70460. After we will calculate the factors of 70447 and 70460 and find the biggest common factor number .

Step-1: Prime Factorization of 70447

Prime factors of 70447 are 13, 5419. Prime factorization of 70447 in exponential form is:

70447 = 13¹ × 5419¹

Step-2: 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-3: Factors of 70447

List of positive integer factors of 70447 that divides 70447 without a remainder.

1, 13, 5419

Step-4: Factors of 70460

List of positive integer factors of 70460 that divides 70447 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70447 and 70460. The biggest common factor number is the GCF number.
So the greatest common factor 70447 and 70460 is 13.

Also check out the Least Common Multiple of 70447 and 70460