What is the Greatest Common Factor of 70268 and 70288?

Greatest common factor (GCF) of 70268 and 70288 is 4.

GCF(70268,70288) = 4

We will now calculate the prime factors of 70268 and 70288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70268 and 70288.

How to find the GCF of 70268 and 70288?

We will first find the prime factorization of 70268 and 70288. After we will calculate the factors of 70268 and 70288 and find the biggest common factor number .

Step-1: Prime Factorization of 70268

Prime factors of 70268 are 2, 11, 1597. Prime factorization of 70268 in exponential form is:

70268 = 2² × 11¹ × 1597¹

Step-2: 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-3: Factors of 70268

List of positive integer factors of 70268 that divides 70268 without a remainder.

1, 2, 4, 11, 22, 44, 1597, 3194, 6388, 17567, 35134

Step-4: Factors of 70288

List of positive integer factors of 70288 that divides 70268 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70268 and 70288. The biggest common factor number is the GCF number.
So the greatest common factor 70268 and 70288 is 4.

Also check out the Least Common Multiple of 70268 and 70288