What is the Greatest Common Factor of 53277 and 53291?

Greatest common factor (GCF) of 53277 and 53291 is 7.

GCF(53277,53291) = 7

We will now calculate the prime factors of 53277 and 53291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53277 and 53291.

How to find the GCF of 53277 and 53291?

We will first find the prime factorization of 53277 and 53291. After we will calculate the factors of 53277 and 53291 and find the biggest common factor number .

Step-1: Prime Factorization of 53277

Prime factors of 53277 are 3, 7, 43, 59. Prime factorization of 53277 in exponential form is:

53277 = 3¹ × 7¹ × 43¹ × 59¹

Step-2: Prime Factorization of 53291

Prime factors of 53291 are 7, 23, 331. Prime factorization of 53291 in exponential form is:

53291 = 7¹ × 23¹ × 331¹

Step-3: Factors of 53277

List of positive integer factors of 53277 that divides 53277 without a remainder.

1, 3, 7, 21, 43, 59, 129, 177, 301, 413, 903, 1239, 2537, 7611, 17759

Step-4: Factors of 53291

List of positive integer factors of 53291 that divides 53277 without a remainder.

1, 7, 23, 161, 331, 2317, 7613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53277 and 53291. The biggest common factor number is the GCF number.
So the greatest common factor 53277 and 53291 is 7.

Also check out the Least Common Multiple of 53277 and 53291