What is the Greatest Common Factor of 52460 and 52478?

Greatest common factor (GCF) of 52460 and 52478 is 2.

GCF(52460,52478) = 2

We will now calculate the prime factors of 52460 and 52478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52460 and 52478.

How to find the GCF of 52460 and 52478?

We will first find the prime factorization of 52460 and 52478. After we will calculate the factors of 52460 and 52478 and find the biggest common factor number .

Step-1: Prime Factorization of 52460

Prime factors of 52460 are 2, 5, 43, 61. Prime factorization of 52460 in exponential form is:

52460 = 2² × 5¹ × 43¹ × 61¹

Step-2: Prime Factorization of 52478

Prime factors of 52478 are 2, 19, 1381. Prime factorization of 52478 in exponential form is:

52478 = 2¹ × 19¹ × 1381¹

Step-3: Factors of 52460

List of positive integer factors of 52460 that divides 52460 without a remainder.

1, 2, 4, 5, 10, 20, 43, 61, 86, 122, 172, 215, 244, 305, 430, 610, 860, 1220, 2623, 5246, 10492, 13115, 26230

Step-4: Factors of 52478

List of positive integer factors of 52478 that divides 52460 without a remainder.

1, 2, 19, 38, 1381, 2762, 26239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52460 and 52478. The biggest common factor number is the GCF number.
So the greatest common factor 52460 and 52478 is 2.

Also check out the Least Common Multiple of 52460 and 52478