What is the Greatest Common Factor of 5350 and 5360?

Greatest common factor (GCF) of 5350 and 5360 is 10.

GCF(5350,5360) = 10

We will now calculate the prime factors of 5350 and 5360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5350 and 5360.

How to find the GCF of 5350 and 5360?

We will first find the prime factorization of 5350 and 5360. After we will calculate the factors of 5350 and 5360 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5360

Prime factors of 5360 are 2, 5, 67. Prime factorization of 5360 in exponential form is:

5360 = 2⁴ × 5¹ × 67¹

Step-3: Factors of 5350

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

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

Step-4: Factors of 5360

List of positive integer factors of 5360 that divides 5350 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 67, 80, 134, 268, 335, 536, 670, 1072, 1340, 2680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5350 and 5360. The biggest common factor number is the GCF number.
So the greatest common factor 5350 and 5360 is 10.

Also check out the Least Common Multiple of 5350 and 5360