What is the Greatest Common Factor of 52280 and 52290?

Greatest common factor (GCF) of 52280 and 52290 is 10.

GCF(52280,52290) = 10

We will now calculate the prime factors of 52280 and 52290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52280 and 52290.

How to find the GCF of 52280 and 52290?

We will first find the prime factorization of 52280 and 52290. After we will calculate the factors of 52280 and 52290 and find the biggest common factor number .

Step-1: Prime Factorization of 52280

Prime factors of 52280 are 2, 5, 1307. Prime factorization of 52280 in exponential form is:

52280 = 2³ × 5¹ × 1307¹

Step-2: 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-3: Factors of 52280

List of positive integer factors of 52280 that divides 52280 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1307, 2614, 5228, 6535, 10456, 13070, 26140

Step-4: Factors of 52290

List of positive integer factors of 52290 that divides 52280 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52280 and 52290. The biggest common factor number is the GCF number.
So the greatest common factor 52280 and 52290 is 10.

Also check out the Least Common Multiple of 52280 and 52290