What is the Greatest Common Factor of 49784 and 49802?

Greatest common factor (GCF) of 49784 and 49802 is 2.

GCF(49784,49802) = 2

We will now calculate the prime factors of 49784 and 49802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49784 and 49802.

How to find the GCF of 49784 and 49802?

We will first find the prime factorization of 49784 and 49802. After we will calculate the factors of 49784 and 49802 and find the biggest common factor number .

Step-1: Prime Factorization of 49784

Prime factors of 49784 are 2, 7, 127. Prime factorization of 49784 in exponential form is:

49784 = 2³ × 7² × 127¹

Step-2: Prime Factorization of 49802

Prime factors of 49802 are 2, 37, 673. Prime factorization of 49802 in exponential form is:

49802 = 2¹ × 37¹ × 673¹

Step-3: Factors of 49784

List of positive integer factors of 49784 that divides 49784 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 127, 196, 254, 392, 508, 889, 1016, 1778, 3556, 6223, 7112, 12446, 24892

Step-4: Factors of 49802

List of positive integer factors of 49802 that divides 49784 without a remainder.

1, 2, 37, 74, 673, 1346, 24901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49784 and 49802. The biggest common factor number is the GCF number.
So the greatest common factor 49784 and 49802 is 2.

Also check out the Least Common Multiple of 49784 and 49802