What is the Greatest Common Factor of 70294 and 70306?

Greatest common factor (GCF) of 70294 and 70306 is 2.

GCF(70294,70306) = 2

We will now calculate the prime factors of 70294 and 70306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70294 and 70306.

How to find the GCF of 70294 and 70306?

We will first find the prime factorization of 70294 and 70306. After we will calculate the factors of 70294 and 70306 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70306

Prime factors of 70306 are 2, 35153. Prime factorization of 70306 in exponential form is:

70306 = 2¹ × 35153¹

Step-3: Factors of 70294

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

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

Step-4: Factors of 70306

List of positive integer factors of 70306 that divides 70294 without a remainder.

1, 2, 35153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70294 and 70306. The biggest common factor number is the GCF number.
So the greatest common factor 70294 and 70306 is 2.

Also check out the Least Common Multiple of 70294 and 70306