What is the Greatest Common Factor of 70460 and 70473?

Greatest common factor (GCF) of 70460 and 70473 is 13.

GCF(70460,70473) = 13

We will now calculate the prime factors of 70460 and 70473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70460 and 70473.

How to find the GCF of 70460 and 70473?

We will first find the prime factorization of 70460 and 70473. After we will calculate the factors of 70460 and 70473 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 70473

Prime factors of 70473 are 3, 13, 139. Prime factorization of 70473 in exponential form is:

70473 = 3¹ × 13² × 139¹

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 70473

List of positive integer factors of 70473 that divides 70460 without a remainder.

1, 3, 13, 39, 139, 169, 417, 507, 1807, 5421, 23491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70460 and 70473. The biggest common factor number is the GCF number.
So the greatest common factor 70460 and 70473 is 13.

Also check out the Least Common Multiple of 70460 and 70473