What is the Greatest Common Factor of 52510 and 52520?

Greatest common factor (GCF) of 52510 and 52520 is 10.

GCF(52510,52520) = 10

We will now calculate the prime factors of 52510 and 52520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52510 and 52520.

How to find the GCF of 52510 and 52520?

We will first find the prime factorization of 52510 and 52520. After we will calculate the factors of 52510 and 52520 and find the biggest common factor number .

Step-1: Prime Factorization of 52510

Prime factors of 52510 are 2, 5, 59, 89. Prime factorization of 52510 in exponential form is:

52510 = 2¹ × 5¹ × 59¹ × 89¹

Step-2: Prime Factorization of 52520

Prime factors of 52520 are 2, 5, 13, 101. Prime factorization of 52520 in exponential form is:

52520 = 2³ × 5¹ × 13¹ × 101¹

Step-3: Factors of 52510

List of positive integer factors of 52510 that divides 52510 without a remainder.

1, 2, 5, 10, 59, 89, 118, 178, 295, 445, 590, 890, 5251, 10502, 26255

Step-4: Factors of 52520

List of positive integer factors of 52520 that divides 52510 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 101, 104, 130, 202, 260, 404, 505, 520, 808, 1010, 1313, 2020, 2626, 4040, 5252, 6565, 10504, 13130, 26260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52510 and 52520. The biggest common factor number is the GCF number.
So the greatest common factor 52510 and 52520 is 10.

Also check out the Least Common Multiple of 52510 and 52520