What is the Greatest Common Factor of 53445 and 53452?

Greatest common factor (GCF) of 53445 and 53452 is 7.

GCF(53445,53452) = 7

We will now calculate the prime factors of 53445 and 53452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53445 and 53452.

How to find the GCF of 53445 and 53452?

We will first find the prime factorization of 53445 and 53452. After we will calculate the factors of 53445 and 53452 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53452

Prime factors of 53452 are 2, 7, 23, 83. Prime factorization of 53452 in exponential form is:

53452 = 2² × 7¹ × 23¹ × 83¹

Step-3: Factors of 53445

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

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

Step-4: Factors of 53452

List of positive integer factors of 53452 that divides 53445 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 83, 92, 161, 166, 322, 332, 581, 644, 1162, 1909, 2324, 3818, 7636, 13363, 26726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53445 and 53452. The biggest common factor number is the GCF number.
So the greatest common factor 53445 and 53452 is 7.

Also check out the Least Common Multiple of 53445 and 53452