What is the Greatest Common Factor of 5340 and 5350?

Greatest common factor (GCF) of 5340 and 5350 is 10.

GCF(5340,5350) = 10

We will now calculate the prime factors of 5340 and 5350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5340 and 5350.

How to find the GCF of 5340 and 5350?

We will first find the prime factorization of 5340 and 5350. After we will calculate the factors of 5340 and 5350 and find the biggest common factor number .

Step-1: Prime Factorization of 5340

Prime factors of 5340 are 2, 3, 5, 89. Prime factorization of 5340 in exponential form is:

5340 = 2² × 3¹ × 5¹ × 89¹

Step-2: Prime Factorization of 5350

Prime factors of 5350 are 2, 5, 107. Prime factorization of 5350 in exponential form is:

5350 = 2¹ × 5² × 107¹

Step-3: Factors of 5340

List of positive integer factors of 5340 that divides 5340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 89, 178, 267, 356, 445, 534, 890, 1068, 1335, 1780, 2670

Step-4: Factors of 5350

List of positive integer factors of 5350 that divides 5340 without a remainder.

1, 2, 5, 10, 25, 50, 107, 214, 535, 1070, 2675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5340 and 5350. The biggest common factor number is the GCF number.
So the greatest common factor 5340 and 5350 is 10.

Also check out the Least Common Multiple of 5340 and 5350