What is the Greatest Common Factor of 51550 and 51560?

Greatest common factor (GCF) of 51550 and 51560 is 10.

GCF(51550,51560) = 10

We will now calculate the prime factors of 51550 and 51560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51550 and 51560.

How to find the GCF of 51550 and 51560?

We will first find the prime factorization of 51550 and 51560. After we will calculate the factors of 51550 and 51560 and find the biggest common factor number .

Step-1: Prime Factorization of 51550

Prime factors of 51550 are 2, 5, 1031. Prime factorization of 51550 in exponential form is:

51550 = 2¹ × 5² × 1031¹

Step-2: Prime Factorization of 51560

Prime factors of 51560 are 2, 5, 1289. Prime factorization of 51560 in exponential form is:

51560 = 2³ × 5¹ × 1289¹

Step-3: Factors of 51550

List of positive integer factors of 51550 that divides 51550 without a remainder.

1, 2, 5, 10, 25, 50, 1031, 2062, 5155, 10310, 25775

Step-4: Factors of 51560

List of positive integer factors of 51560 that divides 51550 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1289, 2578, 5156, 6445, 10312, 12890, 25780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51550 and 51560. The biggest common factor number is the GCF number.
So the greatest common factor 51550 and 51560 is 10.

Also check out the Least Common Multiple of 51550 and 51560