What is the Greatest Common Factor of 49456 and 49476?

Greatest common factor (GCF) of 49456 and 49476 is 4.

GCF(49456,49476) = 4

We will now calculate the prime factors of 49456 and 49476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49456 and 49476.

How to find the GCF of 49456 and 49476?

We will first find the prime factorization of 49456 and 49476. After we will calculate the factors of 49456 and 49476 and find the biggest common factor number .

Step-1: Prime Factorization of 49456

Prime factors of 49456 are 2, 11, 281. Prime factorization of 49456 in exponential form is:

49456 = 2⁴ × 11¹ × 281¹

Step-2: Prime Factorization of 49476

Prime factors of 49476 are 2, 3, 7, 19, 31. Prime factorization of 49476 in exponential form is:

49476 = 2² × 3¹ × 7¹ × 19¹ × 31¹

Step-3: Factors of 49456

List of positive integer factors of 49456 that divides 49456 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 281, 562, 1124, 2248, 3091, 4496, 6182, 12364, 24728

Step-4: Factors of 49476

List of positive integer factors of 49476 that divides 49456 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 31, 38, 42, 57, 62, 76, 84, 93, 114, 124, 133, 186, 217, 228, 266, 372, 399, 434, 532, 589, 651, 798, 868, 1178, 1302, 1596, 1767, 2356, 2604, 3534, 4123, 7068, 8246, 12369, 16492, 24738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49456 and 49476. The biggest common factor number is the GCF number.
So the greatest common factor 49456 and 49476 is 4.

Also check out the Least Common Multiple of 49456 and 49476