What is the Greatest Common Factor of 35204 and 35212?

Greatest common factor (GCF) of 35204 and 35212 is 4.

GCF(35204,35212) = 4

We will now calculate the prime factors of 35204 and 35212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35204 and 35212.

How to find the GCF of 35204 and 35212?

We will first find the prime factorization of 35204 and 35212. After we will calculate the factors of 35204 and 35212 and find the biggest common factor number .

Step-1: Prime Factorization of 35204

Prime factors of 35204 are 2, 13, 677. Prime factorization of 35204 in exponential form is:

35204 = 2² × 13¹ × 677¹

Step-2: Prime Factorization of 35212

Prime factors of 35212 are 2, 8803. Prime factorization of 35212 in exponential form is:

35212 = 2² × 8803¹

Step-3: Factors of 35204

List of positive integer factors of 35204 that divides 35204 without a remainder.

1, 2, 4, 13, 26, 52, 677, 1354, 2708, 8801, 17602

Step-4: Factors of 35212

List of positive integer factors of 35212 that divides 35204 without a remainder.

1, 2, 4, 8803, 17606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35204 and 35212. The biggest common factor number is the GCF number.
So the greatest common factor 35204 and 35212 is 4.

Also check out the Least Common Multiple of 35204 and 35212