What is the Greatest Common Factor of 71193 and 71212?

Greatest common factor (GCF) of 71193 and 71212 is 19.

GCF(71193,71212) = 19

We will now calculate the prime factors of 71193 and 71212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71193 and 71212.

How to find the GCF of 71193 and 71212?

We will first find the prime factorization of 71193 and 71212. After we will calculate the factors of 71193 and 71212 and find the biggest common factor number .

Step-1: Prime Factorization of 71193

Prime factors of 71193 are 3, 19, 1249. Prime factorization of 71193 in exponential form is:

71193 = 3¹ × 19¹ × 1249¹

Step-2: Prime Factorization of 71212

Prime factors of 71212 are 2, 19, 937. Prime factorization of 71212 in exponential form is:

71212 = 2² × 19¹ × 937¹

Step-3: Factors of 71193

List of positive integer factors of 71193 that divides 71193 without a remainder.

1, 3, 19, 57, 1249, 3747, 23731

Step-4: Factors of 71212

List of positive integer factors of 71212 that divides 71193 without a remainder.

1, 2, 4, 19, 38, 76, 937, 1874, 3748, 17803, 35606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71193 and 71212. The biggest common factor number is the GCF number.
So the greatest common factor 71193 and 71212 is 19.

Also check out the Least Common Multiple of 71193 and 71212