What is the Greatest Common Factor of 71236 and 71247?

Greatest common factor (GCF) of 71236 and 71247 is 11.

GCF(71236,71247) = 11

We will now calculate the prime factors of 71236 and 71247, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71236 and 71247.

How to find the GCF of 71236 and 71247?

We will first find the prime factorization of 71236 and 71247. After we will calculate the factors of 71236 and 71247 and find the biggest common factor number .

Step-1: Prime Factorization of 71236

Prime factors of 71236 are 2, 11, 1619. Prime factorization of 71236 in exponential form is:

71236 = 2² × 11¹ × 1619¹

Step-2: Prime Factorization of 71247

Prime factors of 71247 are 3, 11, 17, 127. Prime factorization of 71247 in exponential form is:

71247 = 3¹ × 11¹ × 17¹ × 127¹

Step-3: Factors of 71236

List of positive integer factors of 71236 that divides 71236 without a remainder.

1, 2, 4, 11, 22, 44, 1619, 3238, 6476, 17809, 35618

Step-4: Factors of 71247

List of positive integer factors of 71247 that divides 71236 without a remainder.

1, 3, 11, 17, 33, 51, 127, 187, 381, 561, 1397, 2159, 4191, 6477, 23749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71236 and 71247. The biggest common factor number is the GCF number.
So the greatest common factor 71236 and 71247 is 11.

Also check out the Least Common Multiple of 71236 and 71247