What is the Greatest Common Factor of 54370 and 54380?

Greatest common factor (GCF) of 54370 and 54380 is 10.

GCF(54370,54380) = 10

We will now calculate the prime factors of 54370 and 54380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54370 and 54380.

How to find the GCF of 54370 and 54380?

We will first find the prime factorization of 54370 and 54380. After we will calculate the factors of 54370 and 54380 and find the biggest common factor number .

Step-1: Prime Factorization of 54370

Prime factors of 54370 are 2, 5, 5437. Prime factorization of 54370 in exponential form is:

54370 = 2¹ × 5¹ × 5437¹

Step-2: Prime Factorization of 54380

Prime factors of 54380 are 2, 5, 2719. Prime factorization of 54380 in exponential form is:

54380 = 2² × 5¹ × 2719¹

Step-3: Factors of 54370

List of positive integer factors of 54370 that divides 54370 without a remainder.

1, 2, 5, 10, 5437, 10874, 27185

Step-4: Factors of 54380

List of positive integer factors of 54380 that divides 54370 without a remainder.

1, 2, 4, 5, 10, 20, 2719, 5438, 10876, 13595, 27190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54370 and 54380. The biggest common factor number is the GCF number.
So the greatest common factor 54370 and 54380 is 10.

Also check out the Least Common Multiple of 54370 and 54380