What is the Greatest Common Factor of 53473 and 53487?

Greatest common factor (GCF) of 53473 and 53487 is 7.

GCF(53473,53487) = 7

We will now calculate the prime factors of 53473 and 53487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53473 and 53487.

How to find the GCF of 53473 and 53487?

We will first find the prime factorization of 53473 and 53487. After we will calculate the factors of 53473 and 53487 and find the biggest common factor number .

Step-1: Prime Factorization of 53473

Prime factors of 53473 are 7, 7639. Prime factorization of 53473 in exponential form is:

53473 = 7¹ × 7639¹

Step-2: Prime Factorization of 53487

Prime factors of 53487 are 3, 7, 283. Prime factorization of 53487 in exponential form is:

53487 = 3³ × 7¹ × 283¹

Step-3: Factors of 53473

List of positive integer factors of 53473 that divides 53473 without a remainder.

1, 7, 7639

Step-4: Factors of 53487

List of positive integer factors of 53487 that divides 53473 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 283, 849, 1981, 2547, 5943, 7641, 17829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53473 and 53487. The biggest common factor number is the GCF number.
So the greatest common factor 53473 and 53487 is 7.

Also check out the Least Common Multiple of 53473 and 53487