What is the Greatest Common Factor of 49608 and 49614?

Greatest common factor (GCF) of 49608 and 49614 is 6.

GCF(49608,49614) = 6

We will now calculate the prime factors of 49608 and 49614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49608 and 49614.

How to find the GCF of 49608 and 49614?

We will first find the prime factorization of 49608 and 49614. After we will calculate the factors of 49608 and 49614 and find the biggest common factor number .

Step-1: Prime Factorization of 49608

Prime factors of 49608 are 2, 3, 13, 53. Prime factorization of 49608 in exponential form is:

49608 = 2³ × 3² × 13¹ × 53¹

Step-2: Prime Factorization of 49614

Prime factors of 49614 are 2, 3, 8269. Prime factorization of 49614 in exponential form is:

49614 = 2¹ × 3¹ × 8269¹

Step-3: Factors of 49608

List of positive integer factors of 49608 that divides 49608 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 53, 72, 78, 104, 106, 117, 156, 159, 212, 234, 312, 318, 424, 468, 477, 636, 689, 936, 954, 1272, 1378, 1908, 2067, 2756, 3816, 4134, 5512, 6201, 8268, 12402, 16536, 24804

Step-4: Factors of 49614

List of positive integer factors of 49614 that divides 49608 without a remainder.

1, 2, 3, 6, 8269, 16538, 24807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49608 and 49614. The biggest common factor number is the GCF number.
So the greatest common factor 49608 and 49614 is 6.

Also check out the Least Common Multiple of 49608 and 49614