What is the Greatest Common Factor of 51100 and 51110?

Greatest common factor (GCF) of 51100 and 51110 is 10.

GCF(51100,51110) = 10

We will now calculate the prime factors of 51100 and 51110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51100 and 51110.

How to find the GCF of 51100 and 51110?

We will first find the prime factorization of 51100 and 51110. After we will calculate the factors of 51100 and 51110 and find the biggest common factor number .

Step-1: Prime Factorization of 51100

Prime factors of 51100 are 2, 5, 7, 73. Prime factorization of 51100 in exponential form is:

51100 = 2² × 5² × 7¹ × 73¹

Step-2: Prime Factorization of 51110

Prime factors of 51110 are 2, 5, 19, 269. Prime factorization of 51110 in exponential form is:

51110 = 2¹ × 5¹ × 19¹ × 269¹

Step-3: Factors of 51100

List of positive integer factors of 51100 that divides 51100 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 73, 100, 140, 146, 175, 292, 350, 365, 511, 700, 730, 1022, 1460, 1825, 2044, 2555, 3650, 5110, 7300, 10220, 12775, 25550

Step-4: Factors of 51110

List of positive integer factors of 51110 that divides 51100 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 269, 538, 1345, 2690, 5111, 10222, 25555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51100 and 51110. The biggest common factor number is the GCF number.
So the greatest common factor 51100 and 51110 is 10.

Also check out the Least Common Multiple of 51100 and 51110