What is the Greatest Common Factor of 70208 and 70226?

Greatest common factor (GCF) of 70208 and 70226 is 2.

GCF(70208,70226) = 2

We will now calculate the prime factors of 70208 and 70226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70208 and 70226.

How to find the GCF of 70208 and 70226?

We will first find the prime factorization of 70208 and 70226. After we will calculate the factors of 70208 and 70226 and find the biggest common factor number .

Step-1: Prime Factorization of 70208

Prime factors of 70208 are 2, 1097. Prime factorization of 70208 in exponential form is:

70208 = 2⁶ × 1097¹

Step-2: 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-3: Factors of 70208

List of positive integer factors of 70208 that divides 70208 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1097, 2194, 4388, 8776, 17552, 35104

Step-4: Factors of 70226

List of positive integer factors of 70226 that divides 70208 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70208 and 70226. The biggest common factor number is the GCF number.
So the greatest common factor 70208 and 70226 is 2.

Also check out the Least Common Multiple of 70208 and 70226