What is the Greatest Common Factor of 49759 and 49776?

Greatest common factor (GCF) of 49759 and 49776 is 17.

GCF(49759,49776) = 17

We will now calculate the prime factors of 49759 and 49776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49759 and 49776.

How to find the GCF of 49759 and 49776?

We will first find the prime factorization of 49759 and 49776. After we will calculate the factors of 49759 and 49776 and find the biggest common factor number .

Step-1: Prime Factorization of 49759

Prime factors of 49759 are 17, 2927. Prime factorization of 49759 in exponential form is:

49759 = 17¹ × 2927¹

Step-2: 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-3: Factors of 49759

List of positive integer factors of 49759 that divides 49759 without a remainder.

1, 17, 2927

Step-4: Factors of 49776

List of positive integer factors of 49776 that divides 49759 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49759 and 49776. The biggest common factor number is the GCF number.
So the greatest common factor 49759 and 49776 is 17.

Also check out the Least Common Multiple of 49759 and 49776