What is the Greatest Common Factor of 52290 and 52300?

Greatest common factor (GCF) of 52290 and 52300 is 10.

GCF(52290,52300) = 10

We will now calculate the prime factors of 52290 and 52300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52290 and 52300.

How to find the GCF of 52290 and 52300?

We will first find the prime factorization of 52290 and 52300. After we will calculate the factors of 52290 and 52300 and find the biggest common factor number .

Step-1: Prime Factorization of 52290

Prime factors of 52290 are 2, 3, 5, 7, 83. Prime factorization of 52290 in exponential form is:

52290 = 2¹ × 3² × 5¹ × 7¹ × 83¹

Step-2: Prime Factorization of 52300

Prime factors of 52300 are 2, 5, 523. Prime factorization of 52300 in exponential form is:

52300 = 2² × 5² × 523¹

Step-3: Factors of 52290

List of positive integer factors of 52290 that divides 52290 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 83, 90, 105, 126, 166, 210, 249, 315, 415, 498, 581, 630, 747, 830, 1162, 1245, 1494, 1743, 2490, 2905, 3486, 3735, 5229, 5810, 7470, 8715, 10458, 17430, 26145

Step-4: Factors of 52300

List of positive integer factors of 52300 that divides 52290 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 523, 1046, 2092, 2615, 5230, 10460, 13075, 26150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52290 and 52300. The biggest common factor number is the GCF number.
So the greatest common factor 52290 and 52300 is 10.

Also check out the Least Common Multiple of 52290 and 52300