What is the Greatest Common Factor of 70204 and 70214?

Greatest common factor (GCF) of 70204 and 70214 is 2.

GCF(70204,70214) = 2

We will now calculate the prime factors of 70204 and 70214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70204 and 70214.

How to find the GCF of 70204 and 70214?

We will first find the prime factorization of 70204 and 70214. After we will calculate the factors of 70204 and 70214 and find the biggest common factor number .

Step-1: Prime Factorization of 70204

Prime factors of 70204 are 2, 17551. Prime factorization of 70204 in exponential form is:

70204 = 2² × 17551¹

Step-2: Prime Factorization of 70214

Prime factors of 70214 are 2, 35107. Prime factorization of 70214 in exponential form is:

70214 = 2¹ × 35107¹

Step-3: Factors of 70204

List of positive integer factors of 70204 that divides 70204 without a remainder.

1, 2, 4, 17551, 35102

Step-4: Factors of 70214

List of positive integer factors of 70214 that divides 70204 without a remainder.

1, 2, 35107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70204 and 70214. The biggest common factor number is the GCF number.
So the greatest common factor 70204 and 70214 is 2.

Also check out the Least Common Multiple of 70204 and 70214