What is the Greatest Common Factor of 13550 and 13570?

Greatest common factor (GCF) of 13550 and 13570 is 10.

GCF(13550,13570) = 10

We will now calculate the prime factors of 13550 and 13570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13550 and 13570.

How to find the GCF of 13550 and 13570?

We will first find the prime factorization of 13550 and 13570. After we will calculate the factors of 13550 and 13570 and find the biggest common factor number .

Step-1: Prime Factorization of 13550

Prime factors of 13550 are 2, 5, 271. Prime factorization of 13550 in exponential form is:

13550 = 2¹ × 5² × 271¹

Step-2: Prime Factorization of 13570

Prime factors of 13570 are 2, 5, 23, 59. Prime factorization of 13570 in exponential form is:

13570 = 2¹ × 5¹ × 23¹ × 59¹

Step-3: Factors of 13550

List of positive integer factors of 13550 that divides 13550 without a remainder.

1, 2, 5, 10, 25, 50, 271, 542, 1355, 2710, 6775

Step-4: Factors of 13570

List of positive integer factors of 13570 that divides 13550 without a remainder.

1, 2, 5, 10, 23, 46, 59, 115, 118, 230, 295, 590, 1357, 2714, 6785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13550 and 13570. The biggest common factor number is the GCF number.
So the greatest common factor 13550 and 13570 is 10.

Also check out the Least Common Multiple of 13550 and 13570