What is the Greatest Common Factor of 70198 and 70208?

Greatest common factor (GCF) of 70198 and 70208 is 2.

GCF(70198,70208) = 2

We will now calculate the prime factors of 70198 and 70208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70198 and 70208.

How to find the GCF of 70198 and 70208?

We will first find the prime factorization of 70198 and 70208. After we will calculate the factors of 70198 and 70208 and find the biggest common factor number .

Step-1: Prime Factorization of 70198

Prime factors of 70198 are 2, 35099. Prime factorization of 70198 in exponential form is:

70198 = 2¹ × 35099¹

Step-2: Prime Factorization of 70208

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

70208 = 2⁶ × 1097¹

Step-3: Factors of 70198

List of positive integer factors of 70198 that divides 70198 without a remainder.

1, 2, 35099

Step-4: Factors of 70208

List of positive integer factors of 70208 that divides 70198 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70198 and 70208. The biggest common factor number is the GCF number.
So the greatest common factor 70198 and 70208 is 2.

Also check out the Least Common Multiple of 70198 and 70208