What is the Greatest Common Factor of 49476 and 49488?

Greatest common factor (GCF) of 49476 and 49488 is 12.

GCF(49476,49488) = 12

We will now calculate the prime factors of 49476 and 49488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49476 and 49488.

How to find the GCF of 49476 and 49488?

We will first find the prime factorization of 49476 and 49488. After we will calculate the factors of 49476 and 49488 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49488

Prime factors of 49488 are 2, 3, 1031. Prime factorization of 49488 in exponential form is:

49488 = 2⁴ × 3¹ × 1031¹

Step-3: Factors of 49476

List of positive integer factors of 49476 that divides 49476 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

Step-4: Factors of 49488

List of positive integer factors of 49488 that divides 49476 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1031, 2062, 3093, 4124, 6186, 8248, 12372, 16496, 24744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49476 and 49488. The biggest common factor number is the GCF number.
So the greatest common factor 49476 and 49488 is 12.

Also check out the Least Common Multiple of 49476 and 49488