What is the Greatest Common Factor of 70226 and 70234?

Greatest common factor (GCF) of 70226 and 70234 is 2.

GCF(70226,70234) = 2

We will now calculate the prime factors of 70226 and 70234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70226 and 70234.

How to find the GCF of 70226 and 70234?

We will first find the prime factorization of 70226 and 70234. After we will calculate the factors of 70226 and 70234 and find the biggest common factor number .

Step-1: Prime Factorization of 70226

Prime factors of 70226 are 2, 13, 37, 73. Prime factorization of 70226 in exponential form is:

70226 = 2¹ × 13¹ × 37¹ × 73¹

Step-2: Prime Factorization of 70234

Prime factors of 70234 are 2, 35117. Prime factorization of 70234 in exponential form is:

70234 = 2¹ × 35117¹

Step-3: Factors of 70226

List of positive integer factors of 70226 that divides 70226 without a remainder.

1, 2, 13, 26, 37, 73, 74, 146, 481, 949, 962, 1898, 2701, 5402, 35113

Step-4: Factors of 70234

List of positive integer factors of 70234 that divides 70226 without a remainder.

1, 2, 35117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70226 and 70234. The biggest common factor number is the GCF number.
So the greatest common factor 70226 and 70234 is 2.

Also check out the Least Common Multiple of 70226 and 70234