What is the Greatest Common Factor of 50314 and 50325?

Greatest common factor (GCF) of 50314 and 50325 is 11.

GCF(50314,50325) = 11

We will now calculate the prime factors of 50314 and 50325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50314 and 50325.

How to find the GCF of 50314 and 50325?

We will first find the prime factorization of 50314 and 50325. After we will calculate the factors of 50314 and 50325 and find the biggest common factor number .

Step-1: Prime Factorization of 50314

Prime factors of 50314 are 2, 11, 2287. Prime factorization of 50314 in exponential form is:

50314 = 2¹ × 11¹ × 2287¹

Step-2: Prime Factorization of 50325

Prime factors of 50325 are 3, 5, 11, 61. Prime factorization of 50325 in exponential form is:

50325 = 3¹ × 5² × 11¹ × 61¹

Step-3: Factors of 50314

List of positive integer factors of 50314 that divides 50314 without a remainder.

1, 2, 11, 22, 2287, 4574, 25157

Step-4: Factors of 50325

List of positive integer factors of 50325 that divides 50314 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 61, 75, 165, 183, 275, 305, 671, 825, 915, 1525, 2013, 3355, 4575, 10065, 16775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50314 and 50325. The biggest common factor number is the GCF number.
So the greatest common factor 50314 and 50325 is 11.

Also check out the Least Common Multiple of 50314 and 50325