What is the Greatest Common Factor of 71056 and 71074?

Greatest common factor (GCF) of 71056 and 71074 is 2.

GCF(71056,71074) = 2

We will now calculate the prime factors of 71056 and 71074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71056 and 71074.

How to find the GCF of 71056 and 71074?

We will first find the prime factorization of 71056 and 71074. After we will calculate the factors of 71056 and 71074 and find the biggest common factor number .

Step-1: Prime Factorization of 71056

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

71056 = 2⁴ × 4441¹

Step-2: Prime Factorization of 71074

Prime factors of 71074 are 2, 35537. Prime factorization of 71074 in exponential form is:

71074 = 2¹ × 35537¹

Step-3: Factors of 71056

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

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

Step-4: Factors of 71074

List of positive integer factors of 71074 that divides 71056 without a remainder.

1, 2, 35537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71056 and 71074. The biggest common factor number is the GCF number.
So the greatest common factor 71056 and 71074 is 2.

Also check out the Least Common Multiple of 71056 and 71074