What is the Greatest Common Factor of 52402 and 52410?

Greatest common factor (GCF) of 52402 and 52410 is 2.

GCF(52402,52410) = 2

We will now calculate the prime factors of 52402 and 52410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52402 and 52410.

How to find the GCF of 52402 and 52410?

We will first find the prime factorization of 52402 and 52410. After we will calculate the factors of 52402 and 52410 and find the biggest common factor number .

Step-1: Prime Factorization of 52402

Prime factors of 52402 are 2, 7, 19, 197. Prime factorization of 52402 in exponential form is:

52402 = 2¹ × 7¹ × 19¹ × 197¹

Step-2: Prime Factorization of 52410

Prime factors of 52410 are 2, 3, 5, 1747. Prime factorization of 52410 in exponential form is:

52410 = 2¹ × 3¹ × 5¹ × 1747¹

Step-3: Factors of 52402

List of positive integer factors of 52402 that divides 52402 without a remainder.

1, 2, 7, 14, 19, 38, 133, 197, 266, 394, 1379, 2758, 3743, 7486, 26201

Step-4: Factors of 52410

List of positive integer factors of 52410 that divides 52402 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1747, 3494, 5241, 8735, 10482, 17470, 26205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52402 and 52410. The biggest common factor number is the GCF number.
So the greatest common factor 52402 and 52410 is 2.

Also check out the Least Common Multiple of 52402 and 52410