What is the Greatest Common Factor of 16756 and 16776?

Greatest common factor (GCF) of 16756 and 16776 is 4.

GCF(16756,16776) = 4

We will now calculate the prime factors of 16756 and 16776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16756 and 16776.

How to find the GCF of 16756 and 16776?

We will first find the prime factorization of 16756 and 16776. After we will calculate the factors of 16756 and 16776 and find the biggest common factor number .

Step-1: Prime Factorization of 16756

Prime factors of 16756 are 2, 59, 71. Prime factorization of 16756 in exponential form is:

16756 = 2² × 59¹ × 71¹

Step-2: Prime Factorization of 16776

Prime factors of 16776 are 2, 3, 233. Prime factorization of 16776 in exponential form is:

16776 = 2³ × 3² × 233¹

Step-3: Factors of 16756

List of positive integer factors of 16756 that divides 16756 without a remainder.

1, 2, 4, 59, 71, 118, 142, 236, 284, 4189, 8378

Step-4: Factors of 16776

List of positive integer factors of 16776 that divides 16756 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 233, 466, 699, 932, 1398, 1864, 2097, 2796, 4194, 5592, 8388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16756 and 16776. The biggest common factor number is the GCF number.
So the greatest common factor 16756 and 16776 is 4.

Also check out the Least Common Multiple of 16756 and 16776