What is the Greatest Common Factor of 49688 and 49704?

Greatest common factor (GCF) of 49688 and 49704 is 8.

GCF(49688,49704) = 8

We will now calculate the prime factors of 49688 and 49704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49688 and 49704.

How to find the GCF of 49688 and 49704?

We will first find the prime factorization of 49688 and 49704. After we will calculate the factors of 49688 and 49704 and find the biggest common factor number .

Step-1: Prime Factorization of 49688

Prime factors of 49688 are 2, 6211. Prime factorization of 49688 in exponential form is:

49688 = 2³ × 6211¹

Step-2: Prime Factorization of 49704

Prime factors of 49704 are 2, 3, 19, 109. Prime factorization of 49704 in exponential form is:

49704 = 2³ × 3¹ × 19¹ × 109¹

Step-3: Factors of 49688

List of positive integer factors of 49688 that divides 49688 without a remainder.

1, 2, 4, 8, 6211, 12422, 24844

Step-4: Factors of 49704

List of positive integer factors of 49704 that divides 49688 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 109, 114, 152, 218, 228, 327, 436, 456, 654, 872, 1308, 2071, 2616, 4142, 6213, 8284, 12426, 16568, 24852

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49688 and 49704. The biggest common factor number is the GCF number.
So the greatest common factor 49688 and 49704 is 8.

Also check out the Least Common Multiple of 49688 and 49704