What is the Greatest Common Factor of 53910 and 53930?

Greatest common factor (GCF) of 53910 and 53930 is 10.

GCF(53910,53930) = 10

We will now calculate the prime factors of 53910 and 53930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53910 and 53930.

How to find the GCF of 53910 and 53930?

We will first find the prime factorization of 53910 and 53930. After we will calculate the factors of 53910 and 53930 and find the biggest common factor number .

Step-1: Prime Factorization of 53910

Prime factors of 53910 are 2, 3, 5, 599. Prime factorization of 53910 in exponential form is:

53910 = 2¹ × 3² × 5¹ × 599¹

Step-2: Prime Factorization of 53930

Prime factors of 53930 are 2, 5, 5393. Prime factorization of 53930 in exponential form is:

53930 = 2¹ × 5¹ × 5393¹

Step-3: Factors of 53910

List of positive integer factors of 53910 that divides 53910 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 599, 1198, 1797, 2995, 3594, 5391, 5990, 8985, 10782, 17970, 26955

Step-4: Factors of 53930

List of positive integer factors of 53930 that divides 53910 without a remainder.

1, 2, 5, 10, 5393, 10786, 26965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53910 and 53930. The biggest common factor number is the GCF number.
So the greatest common factor 53910 and 53930 is 10.

Also check out the Least Common Multiple of 53910 and 53930