What is the Greatest Common Factor of 50325 and 50330?

Greatest common factor (GCF) of 50325 and 50330 is 5.

GCF(50325,50330) = 5

We will now calculate the prime factors of 50325 and 50330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50325 and 50330.

How to find the GCF of 50325 and 50330?

We will first find the prime factorization of 50325 and 50330. After we will calculate the factors of 50325 and 50330 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50330

Prime factors of 50330 are 2, 5, 7, 719. Prime factorization of 50330 in exponential form is:

50330 = 2¹ × 5¹ × 7¹ × 719¹

Step-3: Factors of 50325

List of positive integer factors of 50325 that divides 50325 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

Step-4: Factors of 50330

List of positive integer factors of 50330 that divides 50325 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 719, 1438, 3595, 5033, 7190, 10066, 25165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50325 and 50330. The biggest common factor number is the GCF number.
So the greatest common factor 50325 and 50330 is 5.

Also check out the Least Common Multiple of 50325 and 50330