What is the Greatest Common Factor of 70288 and 70305?

Greatest common factor (GCF) of 70288 and 70305 is 1.

GCF(70288,70305) = 1

We will now calculate the prime factors of 70288 and 70305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70288 and 70305.

How to find the GCF of 70288 and 70305?

We will first find the prime factorization of 70288 and 70305. After we will calculate the factors of 70288 and 70305 and find the biggest common factor number .

Step-1: Prime Factorization of 70288

Prime factors of 70288 are 2, 23, 191. Prime factorization of 70288 in exponential form is:

70288 = 2⁴ × 23¹ × 191¹

Step-2: Prime Factorization of 70305

Prime factors of 70305 are 3, 5, 43, 109. Prime factorization of 70305 in exponential form is:

70305 = 3¹ × 5¹ × 43¹ × 109¹

Step-3: Factors of 70288

List of positive integer factors of 70288 that divides 70288 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 191, 368, 382, 764, 1528, 3056, 4393, 8786, 17572, 35144

Step-4: Factors of 70305

List of positive integer factors of 70305 that divides 70288 without a remainder.

1, 3, 5, 15, 43, 109, 129, 215, 327, 545, 645, 1635, 4687, 14061, 23435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70288 and 70305. The biggest common factor number is the GCF number.
So the greatest common factor 70288 and 70305 is 1.

Also check out the Least Common Multiple of 70288 and 70305