What is the Greatest Common Factor of 70450 and 70460?

Greatest common factor (GCF) of 70450 and 70460 is 10.

GCF(70450,70460) = 10

We will now calculate the prime factors of 70450 and 70460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70450 and 70460.

How to find the GCF of 70450 and 70460?

We will first find the prime factorization of 70450 and 70460. After we will calculate the factors of 70450 and 70460 and find the biggest common factor number .

Step-1: Prime Factorization of 70450

Prime factors of 70450 are 2, 5, 1409. Prime factorization of 70450 in exponential form is:

70450 = 2¹ × 5² × 1409¹

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 70450

List of positive integer factors of 70450 that divides 70450 without a remainder.

1, 2, 5, 10, 25, 50, 1409, 2818, 7045, 14090, 35225

Step-4: Factors of 70460

List of positive integer factors of 70460 that divides 70450 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 70450 and 70460. The biggest common factor number is the GCF number.
So the greatest common factor 70450 and 70460 is 10.

Also check out the Least Common Multiple of 70450 and 70460