What is the Greatest Common Factor of 70189 and 70208?

Greatest common factor (GCF) of 70189 and 70208 is 1.

GCF(70189,70208) = 1

We will now calculate the prime factors of 70189 and 70208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70189 and 70208.

How to find the GCF of 70189 and 70208?

We will first find the prime factorization of 70189 and 70208. After we will calculate the factors of 70189 and 70208 and find the biggest common factor number .

Step-1: Prime Factorization of 70189

Prime factors of 70189 are 7, 37, 271. Prime factorization of 70189 in exponential form is:

70189 = 7¹ × 37¹ × 271¹

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 70189

List of positive integer factors of 70189 that divides 70189 without a remainder.

1, 7, 37, 259, 271, 1897, 10027

Step-4: Factors of 70208

List of positive integer factors of 70208 that divides 70189 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 70189 and 70208. The biggest common factor number is the GCF number.
So the greatest common factor 70189 and 70208 is 1.

Also check out the Least Common Multiple of 70189 and 70208