What is the Greatest Common Factor of 49776 and 49782?

Greatest common factor (GCF) of 49776 and 49782 is 6.

GCF(49776,49782) = 6

We will now calculate the prime factors of 49776 and 49782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49776 and 49782.

How to find the GCF of 49776 and 49782?

We will first find the prime factorization of 49776 and 49782. After we will calculate the factors of 49776 and 49782 and find the biggest common factor number .

Step-1: Prime Factorization of 49776

Prime factors of 49776 are 2, 3, 17, 61. Prime factorization of 49776 in exponential form is:

49776 = 2⁴ × 3¹ × 17¹ × 61¹

Step-2: Prime Factorization of 49782

Prime factors of 49782 are 2, 3, 8297. Prime factorization of 49782 in exponential form is:

49782 = 2¹ × 3¹ × 8297¹

Step-3: Factors of 49776

List of positive integer factors of 49776 that divides 49776 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 61, 68, 102, 122, 136, 183, 204, 244, 272, 366, 408, 488, 732, 816, 976, 1037, 1464, 2074, 2928, 3111, 4148, 6222, 8296, 12444, 16592, 24888

Step-4: Factors of 49782

List of positive integer factors of 49782 that divides 49776 without a remainder.

1, 2, 3, 6, 8297, 16594, 24891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49776 and 49782. The biggest common factor number is the GCF number.
So the greatest common factor 49776 and 49782 is 6.

Also check out the Least Common Multiple of 49776 and 49782