What is the Greatest Common Factor of 70198 and 70216?

Greatest common factor (GCF) of 70198 and 70216 is 2.

GCF(70198,70216) = 2

We will now calculate the prime factors of 70198 and 70216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70198 and 70216.

How to find the GCF of 70198 and 70216?

We will first find the prime factorization of 70198 and 70216. After we will calculate the factors of 70198 and 70216 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 70216

Prime factors of 70216 are 2, 67, 131. Prime factorization of 70216 in exponential form is:

70216 = 2³ × 67¹ × 131¹

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 70216

List of positive integer factors of 70216 that divides 70198 without a remainder.

1, 2, 4, 8, 67, 131, 134, 262, 268, 524, 536, 1048, 8777, 17554, 35108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70198 and 70216. The biggest common factor number is the GCF number.
So the greatest common factor 70198 and 70216 is 2.

Also check out the Least Common Multiple of 70198 and 70216