What is the Greatest Common Factor of 71050 and 71056?

Greatest common factor (GCF) of 71050 and 71056 is 2.

GCF(71050,71056) = 2

We will now calculate the prime factors of 71050 and 71056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71050 and 71056.

How to find the GCF of 71050 and 71056?

We will first find the prime factorization of 71050 and 71056. After we will calculate the factors of 71050 and 71056 and find the biggest common factor number .

Step-1: Prime Factorization of 71050

Prime factors of 71050 are 2, 5, 7, 29. Prime factorization of 71050 in exponential form is:

71050 = 2¹ × 5² × 7² × 29¹

Step-2: Prime Factorization of 71056

Prime factors of 71056 are 2, 4441. Prime factorization of 71056 in exponential form is:

71056 = 2⁴ × 4441¹

Step-3: Factors of 71050

List of positive integer factors of 71050 that divides 71050 without a remainder.

1, 2, 5, 7, 10, 14, 25, 29, 35, 49, 50, 58, 70, 98, 145, 175, 203, 245, 290, 350, 406, 490, 725, 1015, 1225, 1421, 1450, 2030, 2450, 2842, 5075, 7105, 10150, 14210, 35525

Step-4: Factors of 71056

List of positive integer factors of 71056 that divides 71050 without a remainder.

1, 2, 4, 8, 16, 4441, 8882, 17764, 35528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71050 and 71056. The biggest common factor number is the GCF number.
So the greatest common factor 71050 and 71056 is 2.

Also check out the Least Common Multiple of 71050 and 71056