What is the Greatest Common Factor of 51490 and 51500?

Greatest common factor (GCF) of 51490 and 51500 is 10.

GCF(51490,51500) = 10

We will now calculate the prime factors of 51490 and 51500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51490 and 51500.

How to find the GCF of 51490 and 51500?

We will first find the prime factorization of 51490 and 51500. After we will calculate the factors of 51490 and 51500 and find the biggest common factor number .

Step-1: Prime Factorization of 51490

Prime factors of 51490 are 2, 5, 19, 271. Prime factorization of 51490 in exponential form is:

51490 = 2¹ × 5¹ × 19¹ × 271¹

Step-2: Prime Factorization of 51500

Prime factors of 51500 are 2, 5, 103. Prime factorization of 51500 in exponential form is:

51500 = 2² × 5³ × 103¹

Step-3: Factors of 51490

List of positive integer factors of 51490 that divides 51490 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 271, 542, 1355, 2710, 5149, 10298, 25745

Step-4: Factors of 51500

List of positive integer factors of 51500 that divides 51490 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 103, 125, 206, 250, 412, 500, 515, 1030, 2060, 2575, 5150, 10300, 12875, 25750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51490 and 51500. The biggest common factor number is the GCF number.
So the greatest common factor 51490 and 51500 is 10.

Also check out the Least Common Multiple of 51490 and 51500