What is the Greatest Common Factor of 71776 and 71796?

Greatest common factor (GCF) of 71776 and 71796 is 4.

GCF(71776,71796) = 4

We will now calculate the prime factors of 71776 and 71796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71776 and 71796.

How to find the GCF of 71776 and 71796?

We will first find the prime factorization of 71776 and 71796. After we will calculate the factors of 71776 and 71796 and find the biggest common factor number .

Step-1: Prime Factorization of 71776

Prime factors of 71776 are 2, 2243. Prime factorization of 71776 in exponential form is:

71776 = 2⁵ × 2243¹

Step-2: Prime Factorization of 71796

Prime factors of 71796 are 2, 3, 31, 193. Prime factorization of 71796 in exponential form is:

71796 = 2² × 3¹ × 31¹ × 193¹

Step-3: Factors of 71776

List of positive integer factors of 71776 that divides 71776 without a remainder.

1, 2, 4, 8, 16, 32, 2243, 4486, 8972, 17944, 35888

Step-4: Factors of 71796

List of positive integer factors of 71796 that divides 71776 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 193, 372, 386, 579, 772, 1158, 2316, 5983, 11966, 17949, 23932, 35898

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71776 and 71796. The biggest common factor number is the GCF number.
So the greatest common factor 71776 and 71796 is 4.

Also check out the Least Common Multiple of 71776 and 71796