What is the Greatest Common Factor of 50596 and 50610?

Greatest common factor (GCF) of 50596 and 50610 is 14.

GCF(50596,50610) = 14

We will now calculate the prime factors of 50596 and 50610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50596 and 50610.

How to find the GCF of 50596 and 50610?

We will first find the prime factorization of 50596 and 50610. After we will calculate the factors of 50596 and 50610 and find the biggest common factor number .

Step-1: Prime Factorization of 50596

Prime factors of 50596 are 2, 7, 13, 139. Prime factorization of 50596 in exponential form is:

50596 = 2² × 7¹ × 13¹ × 139¹

Step-2: Prime Factorization of 50610

Prime factors of 50610 are 2, 3, 5, 7, 241. Prime factorization of 50610 in exponential form is:

50610 = 2¹ × 3¹ × 5¹ × 7¹ × 241¹

Step-3: Factors of 50596

List of positive integer factors of 50596 that divides 50596 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 139, 182, 278, 364, 556, 973, 1807, 1946, 3614, 3892, 7228, 12649, 25298

Step-4: Factors of 50610

List of positive integer factors of 50610 that divides 50596 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 241, 482, 723, 1205, 1446, 1687, 2410, 3374, 3615, 5061, 7230, 8435, 10122, 16870, 25305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50596 and 50610. The biggest common factor number is the GCF number.
So the greatest common factor 50596 and 50610 is 14.

Also check out the Least Common Multiple of 50596 and 50610