What is the Greatest Common Factor of 71056 and 71060?

Greatest common factor (GCF) of 71056 and 71060 is 4.

GCF(71056,71060) = 4

We will now calculate the prime factors of 71056 and 71060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71056 and 71060.

How to find the GCF of 71056 and 71060?

We will first find the prime factorization of 71056 and 71060. After we will calculate the factors of 71056 and 71060 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 71060

Prime factors of 71060 are 2, 5, 11, 17, 19. Prime factorization of 71060 in exponential form is:

71060 = 2² × 5¹ × 11¹ × 17¹ × 19¹

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 71060

List of positive integer factors of 71060 that divides 71056 without a remainder.

1, 2, 4, 5, 10, 11, 17, 19, 20, 22, 34, 38, 44, 55, 68, 76, 85, 95, 110, 170, 187, 190, 209, 220, 323, 340, 374, 380, 418, 646, 748, 836, 935, 1045, 1292, 1615, 1870, 2090, 3230, 3553, 3740, 4180, 6460, 7106, 14212, 17765, 35530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71056 and 71060. The biggest common factor number is the GCF number.
So the greatest common factor 71056 and 71060 is 4.

Also check out the Least Common Multiple of 71056 and 71060