What is the Greatest Common Factor of 53360 and 53370?

Greatest common factor (GCF) of 53360 and 53370 is 10.

GCF(53360,53370) = 10

We will now calculate the prime factors of 53360 and 53370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53360 and 53370.

How to find the GCF of 53360 and 53370?

We will first find the prime factorization of 53360 and 53370. After we will calculate the factors of 53360 and 53370 and find the biggest common factor number .

Step-1: Prime Factorization of 53360

Prime factors of 53360 are 2, 5, 23, 29. Prime factorization of 53360 in exponential form is:

53360 = 2⁴ × 5¹ × 23¹ × 29¹

Step-2: Prime Factorization of 53370

Prime factors of 53370 are 2, 3, 5, 593. Prime factorization of 53370 in exponential form is:

53370 = 2¹ × 3² × 5¹ × 593¹

Step-3: Factors of 53360

List of positive integer factors of 53360 that divides 53360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 29, 40, 46, 58, 80, 92, 115, 116, 145, 184, 230, 232, 290, 368, 460, 464, 580, 667, 920, 1160, 1334, 1840, 2320, 2668, 3335, 5336, 6670, 10672, 13340, 26680

Step-4: Factors of 53370

List of positive integer factors of 53370 that divides 53360 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 593, 1186, 1779, 2965, 3558, 5337, 5930, 8895, 10674, 17790, 26685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53360 and 53370. The biggest common factor number is the GCF number.
So the greatest common factor 53360 and 53370 is 10.

Also check out the Least Common Multiple of 53360 and 53370