What is the Greatest Common Factor of 70189 and 70202?

Greatest common factor (GCF) of 70189 and 70202 is 1.

GCF(70189,70202) = 1

We will now calculate the prime factors of 70189 and 70202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70189 and 70202.

How to find the GCF of 70189 and 70202?

We will first find the prime factorization of 70189 and 70202. After we will calculate the factors of 70189 and 70202 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 70202

Prime factors of 70202 are 2, 11, 3191. Prime factorization of 70202 in exponential form is:

70202 = 2¹ × 11¹ × 3191¹

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 70202

List of positive integer factors of 70202 that divides 70189 without a remainder.

1, 2, 11, 22, 3191, 6382, 35101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70189 and 70202. The biggest common factor number is the GCF number.
So the greatest common factor 70189 and 70202 is 1.

Also check out the Least Common Multiple of 70189 and 70202