What is the Greatest Common Factor of 5320 and 5335?

Greatest common factor (GCF) of 5320 and 5335 is 5.

GCF(5320,5335) = 5

We will now calculate the prime factors of 5320 and 5335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5320 and 5335.

How to find the GCF of 5320 and 5335?

We will first find the prime factorization of 5320 and 5335. After we will calculate the factors of 5320 and 5335 and find the biggest common factor number .

Step-1: Prime Factorization of 5320

Prime factors of 5320 are 2, 5, 7, 19. Prime factorization of 5320 in exponential form is:

5320 = 2³ × 5¹ × 7¹ × 19¹

Step-2: Prime Factorization of 5335

Prime factors of 5335 are 5, 11, 97. Prime factorization of 5335 in exponential form is:

5335 = 5¹ × 11¹ × 97¹

Step-3: Factors of 5320

List of positive integer factors of 5320 that divides 5320 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 56, 70, 76, 95, 133, 140, 152, 190, 266, 280, 380, 532, 665, 760, 1064, 1330, 2660

Step-4: Factors of 5335

List of positive integer factors of 5335 that divides 5320 without a remainder.

1, 5, 11, 55, 97, 485, 1067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5320 and 5335. The biggest common factor number is the GCF number.
So the greatest common factor 5320 and 5335 is 5.

Also check out the Least Common Multiple of 5320 and 5335