What is the Greatest Common Factor of 5550 and 5570?

Greatest common factor (GCF) of 5550 and 5570 is 10.

GCF(5550,5570) = 10

We will now calculate the prime factors of 5550 and 5570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5550 and 5570.

How to find the GCF of 5550 and 5570?

We will first find the prime factorization of 5550 and 5570. After we will calculate the factors of 5550 and 5570 and find the biggest common factor number .

Step-1: Prime Factorization of 5550

Prime factors of 5550 are 2, 3, 5, 37. Prime factorization of 5550 in exponential form is:

5550 = 2¹ × 3¹ × 5² × 37¹

Step-2: Prime Factorization of 5570

Prime factors of 5570 are 2, 5, 557. Prime factorization of 5570 in exponential form is:

5570 = 2¹ × 5¹ × 557¹

Step-3: Factors of 5550

List of positive integer factors of 5550 that divides 5550 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 37, 50, 74, 75, 111, 150, 185, 222, 370, 555, 925, 1110, 1850, 2775

Step-4: Factors of 5570

List of positive integer factors of 5570 that divides 5550 without a remainder.

1, 2, 5, 10, 557, 1114, 2785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5550 and 5570. The biggest common factor number is the GCF number.
So the greatest common factor 5550 and 5570 is 10.

Also check out the Least Common Multiple of 5550 and 5570