What is the Greatest Common Factor of 71776 and 71788?

Greatest common factor (GCF) of 71776 and 71788 is 4.

GCF(71776,71788) = 4

We will now calculate the prime factors of 71776 and 71788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71776 and 71788.

How to find the GCF of 71776 and 71788?

We will first find the prime factorization of 71776 and 71788. After we will calculate the factors of 71776 and 71788 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 71788

Prime factors of 71788 are 2, 131, 137. Prime factorization of 71788 in exponential form is:

71788 = 2² × 131¹ × 137¹

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 71788

List of positive integer factors of 71788 that divides 71776 without a remainder.

1, 2, 4, 131, 137, 262, 274, 524, 548, 17947, 35894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71776 and 71788. The biggest common factor number is the GCF number.
So the greatest common factor 71776 and 71788 is 4.

Also check out the Least Common Multiple of 71776 and 71788