What is the Greatest Common Factor of 71038 and 71052?

Greatest common factor (GCF) of 71038 and 71052 is 2.

GCF(71038,71052) = 2

We will now calculate the prime factors of 71038 and 71052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71038 and 71052.

How to find the GCF of 71038 and 71052?

We will first find the prime factorization of 71038 and 71052. After we will calculate the factors of 71038 and 71052 and find the biggest common factor number .

Step-1: Prime Factorization of 71038

Prime factors of 71038 are 2, 11, 3229. Prime factorization of 71038 in exponential form is:

71038 = 2¹ × 11¹ × 3229¹

Step-2: Prime Factorization of 71052

Prime factors of 71052 are 2, 3, 31, 191. Prime factorization of 71052 in exponential form is:

71052 = 2² × 3¹ × 31¹ × 191¹

Step-3: Factors of 71038

List of positive integer factors of 71038 that divides 71038 without a remainder.

1, 2, 11, 22, 3229, 6458, 35519

Step-4: Factors of 71052

List of positive integer factors of 71052 that divides 71038 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 191, 372, 382, 573, 764, 1146, 2292, 5921, 11842, 17763, 23684, 35526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71038 and 71052. The biggest common factor number is the GCF number.
So the greatest common factor 71038 and 71052 is 2.

Also check out the Least Common Multiple of 71038 and 71052