What is the Greatest Common Factor of 49685 and 49704?

Greatest common factor (GCF) of 49685 and 49704 is 19.

GCF(49685,49704) = 19

We will now calculate the prime factors of 49685 and 49704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49685 and 49704.

How to find the GCF of 49685 and 49704?

We will first find the prime factorization of 49685 and 49704. After we will calculate the factors of 49685 and 49704 and find the biggest common factor number .

Step-1: Prime Factorization of 49685

Prime factors of 49685 are 5, 19, 523. Prime factorization of 49685 in exponential form is:

49685 = 5¹ × 19¹ × 523¹

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 49685

List of positive integer factors of 49685 that divides 49685 without a remainder.

1, 5, 19, 95, 523, 2615, 9937

Step-4: Factors of 49704

List of positive integer factors of 49704 that divides 49685 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 49685 and 49704. The biggest common factor number is the GCF number.
So the greatest common factor 49685 and 49704 is 19.

Also check out the Least Common Multiple of 49685 and 49704