What is the Greatest Common Factor of 51100 and 51105?

Greatest common factor (GCF) of 51100 and 51105 is 5.

GCF(51100,51105) = 5

We will now calculate the prime factors of 51100 and 51105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51100 and 51105.

How to find the GCF of 51100 and 51105?

We will first find the prime factorization of 51100 and 51105. After we will calculate the factors of 51100 and 51105 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 51105

Prime factors of 51105 are 3, 5, 3407. Prime factorization of 51105 in exponential form is:

51105 = 3¹ × 5¹ × 3407¹

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 51105

List of positive integer factors of 51105 that divides 51100 without a remainder.

1, 3, 5, 15, 3407, 10221, 17035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51100 and 51105. The biggest common factor number is the GCF number.
So the greatest common factor 51100 and 51105 is 5.

Also check out the Least Common Multiple of 51100 and 51105