What is the Greatest Common Factor of 5380 and 5390?

Greatest common factor (GCF) of 5380 and 5390 is 10.

GCF(5380,5390) = 10

We will now calculate the prime factors of 5380 and 5390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5380 and 5390.

How to find the GCF of 5380 and 5390?

We will first find the prime factorization of 5380 and 5390. After we will calculate the factors of 5380 and 5390 and find the biggest common factor number .

Step-1: Prime Factorization of 5380

Prime factors of 5380 are 2, 5, 269. Prime factorization of 5380 in exponential form is:

5380 = 2² × 5¹ × 269¹

Step-2: Prime Factorization of 5390

Prime factors of 5390 are 2, 5, 7, 11. Prime factorization of 5390 in exponential form is:

5390 = 2¹ × 5¹ × 7² × 11¹

Step-3: Factors of 5380

List of positive integer factors of 5380 that divides 5380 without a remainder.

1, 2, 4, 5, 10, 20, 269, 538, 1076, 1345, 2690

Step-4: Factors of 5390

List of positive integer factors of 5390 that divides 5380 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 154, 245, 385, 490, 539, 770, 1078, 2695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5380 and 5390. The biggest common factor number is the GCF number.
So the greatest common factor 5380 and 5390 is 10.

Also check out the Least Common Multiple of 5380 and 5390