What is the Greatest Common Factor of 52430 and 52437?

Greatest common factor (GCF) of 52430 and 52437 is 7.

GCF(52430,52437) = 7

We will now calculate the prime factors of 52430 and 52437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52430 and 52437.

How to find the GCF of 52430 and 52437?

We will first find the prime factorization of 52430 and 52437. After we will calculate the factors of 52430 and 52437 and find the biggest common factor number .

Step-1: Prime Factorization of 52430

Prime factors of 52430 are 2, 5, 7, 107. Prime factorization of 52430 in exponential form is:

52430 = 2¹ × 5¹ × 7² × 107¹

Step-2: Prime Factorization of 52437

Prime factors of 52437 are 3, 7, 11, 227. Prime factorization of 52437 in exponential form is:

52437 = 3¹ × 7¹ × 11¹ × 227¹

Step-3: Factors of 52430

List of positive integer factors of 52430 that divides 52430 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 107, 214, 245, 490, 535, 749, 1070, 1498, 3745, 5243, 7490, 10486, 26215

Step-4: Factors of 52437

List of positive integer factors of 52437 that divides 52430 without a remainder.

1, 3, 7, 11, 21, 33, 77, 227, 231, 681, 1589, 2497, 4767, 7491, 17479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52430 and 52437. The biggest common factor number is the GCF number.
So the greatest common factor 52430 and 52437 is 7.

Also check out the Least Common Multiple of 52430 and 52437