What is the Greatest Common Factor of 53150 and 53164?

Greatest common factor (GCF) of 53150 and 53164 is 2.

GCF(53150,53164) = 2

We will now calculate the prime factors of 53150 and 53164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53150 and 53164.

How to find the GCF of 53150 and 53164?

We will first find the prime factorization of 53150 and 53164. After we will calculate the factors of 53150 and 53164 and find the biggest common factor number .

Step-1: Prime Factorization of 53150

Prime factors of 53150 are 2, 5, 1063. Prime factorization of 53150 in exponential form is:

53150 = 2¹ × 5² × 1063¹

Step-2: Prime Factorization of 53164

Prime factors of 53164 are 2, 13291. Prime factorization of 53164 in exponential form is:

53164 = 2² × 13291¹

Step-3: Factors of 53150

List of positive integer factors of 53150 that divides 53150 without a remainder.

1, 2, 5, 10, 25, 50, 1063, 2126, 5315, 10630, 26575

Step-4: Factors of 53164

List of positive integer factors of 53164 that divides 53150 without a remainder.

1, 2, 4, 13291, 26582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53150 and 53164. The biggest common factor number is the GCF number.
So the greatest common factor 53150 and 53164 is 2.

Also check out the Least Common Multiple of 53150 and 53164