What is the Greatest Common Factor of 47776 and 47784?

Greatest common factor (GCF) of 47776 and 47784 is 8.

GCF(47776,47784) = 8

We will now calculate the prime factors of 47776 and 47784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47776 and 47784.

How to find the GCF of 47776 and 47784?

We will first find the prime factorization of 47776 and 47784. After we will calculate the factors of 47776 and 47784 and find the biggest common factor number .

Step-1: Prime Factorization of 47776

Prime factors of 47776 are 2, 1493. Prime factorization of 47776 in exponential form is:

47776 = 2⁵ × 1493¹

Step-2: Prime Factorization of 47784

Prime factors of 47784 are 2, 3, 11, 181. Prime factorization of 47784 in exponential form is:

47784 = 2³ × 3¹ × 11¹ × 181¹

Step-3: Factors of 47776

List of positive integer factors of 47776 that divides 47776 without a remainder.

1, 2, 4, 8, 16, 32, 1493, 2986, 5972, 11944, 23888

Step-4: Factors of 47784

List of positive integer factors of 47784 that divides 47776 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 181, 264, 362, 543, 724, 1086, 1448, 1991, 2172, 3982, 4344, 5973, 7964, 11946, 15928, 23892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47776 and 47784. The biggest common factor number is the GCF number.
So the greatest common factor 47776 and 47784 is 8.

Also check out the Least Common Multiple of 47776 and 47784