What is the Greatest Common Factor of 53478 and 53490?

Greatest common factor (GCF) of 53478 and 53490 is 6.

GCF(53478,53490) = 6

We will now calculate the prime factors of 53478 and 53490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53478 and 53490.

How to find the GCF of 53478 and 53490?

We will first find the prime factorization of 53478 and 53490. After we will calculate the factors of 53478 and 53490 and find the biggest common factor number .

Step-1: Prime Factorization of 53478

Prime factors of 53478 are 2, 3, 2971. Prime factorization of 53478 in exponential form is:

53478 = 2¹ × 3² × 2971¹

Step-2: Prime Factorization of 53490

Prime factors of 53490 are 2, 3, 5, 1783. Prime factorization of 53490 in exponential form is:

53490 = 2¹ × 3¹ × 5¹ × 1783¹

Step-3: Factors of 53478

List of positive integer factors of 53478 that divides 53478 without a remainder.

1, 2, 3, 6, 9, 18, 2971, 5942, 8913, 17826, 26739

Step-4: Factors of 53490

List of positive integer factors of 53490 that divides 53478 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1783, 3566, 5349, 8915, 10698, 17830, 26745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53478 and 53490. The biggest common factor number is the GCF number.
So the greatest common factor 53478 and 53490 is 6.

Also check out the Least Common Multiple of 53478 and 53490