What is the Greatest Common Factor of 51085 and 51100?

Greatest common factor (GCF) of 51085 and 51100 is 5.

GCF(51085,51100) = 5

We will now calculate the prime factors of 51085 and 51100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51085 and 51100.

How to find the GCF of 51085 and 51100?

We will first find the prime factorization of 51085 and 51100. After we will calculate the factors of 51085 and 51100 and find the biggest common factor number .

Step-1: Prime Factorization of 51085

Prime factors of 51085 are 5, 17, 601. Prime factorization of 51085 in exponential form is:

51085 = 5¹ × 17¹ × 601¹

Step-2: 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-3: Factors of 51085

List of positive integer factors of 51085 that divides 51085 without a remainder.

1, 5, 17, 85, 601, 3005, 10217

Step-4: Factors of 51100

List of positive integer factors of 51100 that divides 51085 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51085 and 51100. The biggest common factor number is the GCF number.
So the greatest common factor 51085 and 51100 is 5.

Also check out the Least Common Multiple of 51085 and 51100