What is the Greatest Common Factor of 53431 and 53445?

Greatest common factor (GCF) of 53431 and 53445 is 7.

GCF(53431,53445) = 7

We will now calculate the prime factors of 53431 and 53445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53431 and 53445.

How to find the GCF of 53431 and 53445?

We will first find the prime factorization of 53431 and 53445. After we will calculate the factors of 53431 and 53445 and find the biggest common factor number .

Step-1: Prime Factorization of 53431

Prime factors of 53431 are 7, 17, 449. Prime factorization of 53431 in exponential form is:

53431 = 7¹ × 17¹ × 449¹

Step-2: Prime Factorization of 53445

Prime factors of 53445 are 3, 5, 7, 509. Prime factorization of 53445 in exponential form is:

53445 = 3¹ × 5¹ × 7¹ × 509¹

Step-3: Factors of 53431

List of positive integer factors of 53431 that divides 53431 without a remainder.

1, 7, 17, 119, 449, 3143, 7633

Step-4: Factors of 53445

List of positive integer factors of 53445 that divides 53431 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 509, 1527, 2545, 3563, 7635, 10689, 17815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53431 and 53445. The biggest common factor number is the GCF number.
So the greatest common factor 53431 and 53445 is 7.

Also check out the Least Common Multiple of 53431 and 53445