What is the Greatest Common Factor of 70288 and 70294?

Greatest common factor (GCF) of 70288 and 70294 is 2.

GCF(70288,70294) = 2

We will now calculate the prime factors of 70288 and 70294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70288 and 70294.

How to find the GCF of 70288 and 70294?

We will first find the prime factorization of 70288 and 70294. After we will calculate the factors of 70288 and 70294 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 70294

Prime factors of 70294 are 2, 7, 5021. Prime factorization of 70294 in exponential form is:

70294 = 2¹ × 7¹ × 5021¹

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 70294

List of positive integer factors of 70294 that divides 70288 without a remainder.

1, 2, 7, 14, 5021, 10042, 35147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70288 and 70294. The biggest common factor number is the GCF number.
So the greatest common factor 70288 and 70294 is 2.

Also check out the Least Common Multiple of 70288 and 70294