What is the Greatest Common Factor of 10425 and 10437?

Greatest common factor (GCF) of 10425 and 10437 is 3.

GCF(10425,10437) = 3

We will now calculate the prime factors of 10425 and 10437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10425 and 10437.

How to find the GCF of 10425 and 10437?

We will first find the prime factorization of 10425 and 10437. After we will calculate the factors of 10425 and 10437 and find the biggest common factor number .

Step-1: Prime Factorization of 10425

Prime factors of 10425 are 3, 5, 139. Prime factorization of 10425 in exponential form is:

10425 = 3¹ × 5² × 139¹

Step-2: Prime Factorization of 10437

Prime factors of 10437 are 3, 7, 71. Prime factorization of 10437 in exponential form is:

10437 = 3¹ × 7² × 71¹

Step-3: Factors of 10425

List of positive integer factors of 10425 that divides 10425 without a remainder.

1, 3, 5, 15, 25, 75, 139, 417, 695, 2085, 3475

Step-4: Factors of 10437

List of positive integer factors of 10437 that divides 10425 without a remainder.

1, 3, 7, 21, 49, 71, 147, 213, 497, 1491, 3479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10425 and 10437. The biggest common factor number is the GCF number.
So the greatest common factor 10425 and 10437 is 3.

Also check out the Least Common Multiple of 10425 and 10437