What is the Greatest Common Factor of 35189 and 35203?

Greatest common factor (GCF) of 35189 and 35203 is 7.

GCF(35189,35203) = 7

We will now calculate the prime factors of 35189 and 35203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35189 and 35203.

How to find the GCF of 35189 and 35203?

We will first find the prime factorization of 35189 and 35203. After we will calculate the factors of 35189 and 35203 and find the biggest common factor number .

Step-1: Prime Factorization of 35189

Prime factors of 35189 are 7, 11, 457. Prime factorization of 35189 in exponential form is:

35189 = 7¹ × 11¹ × 457¹

Step-2: Prime Factorization of 35203

Prime factors of 35203 are 7, 47, 107. Prime factorization of 35203 in exponential form is:

35203 = 7¹ × 47¹ × 107¹

Step-3: Factors of 35189

List of positive integer factors of 35189 that divides 35189 without a remainder.

1, 7, 11, 77, 457, 3199, 5027

Step-4: Factors of 35203

List of positive integer factors of 35203 that divides 35189 without a remainder.

1, 7, 47, 107, 329, 749, 5029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35189 and 35203. The biggest common factor number is the GCF number.
So the greatest common factor 35189 and 35203 is 7.

Also check out the Least Common Multiple of 35189 and 35203