What is the Greatest Common Factor of 35196 and 35204?

Greatest common factor (GCF) of 35196 and 35204 is 4.

GCF(35196,35204) = 4

We will now calculate the prime factors of 35196 and 35204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35196 and 35204.

How to find the GCF of 35196 and 35204?

We will first find the prime factorization of 35196 and 35204. After we will calculate the factors of 35196 and 35204 and find the biggest common factor number .

Step-1: Prime Factorization of 35196

Prime factors of 35196 are 2, 3, 7, 419. Prime factorization of 35196 in exponential form is:

35196 = 2² × 3¹ × 7¹ × 419¹

Step-2: 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-3: Factors of 35196

List of positive integer factors of 35196 that divides 35196 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 419, 838, 1257, 1676, 2514, 2933, 5028, 5866, 8799, 11732, 17598

Step-4: Factors of 35204

List of positive integer factors of 35204 that divides 35196 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35196 and 35204. The biggest common factor number is the GCF number.
So the greatest common factor 35196 and 35204 is 4.

Also check out the Least Common Multiple of 35196 and 35204