What is the Greatest Common Factor of 53264 and 53277?

Greatest common factor (GCF) of 53264 and 53277 is 1.

GCF(53264,53277) = 1

We will now calculate the prime factors of 53264 and 53277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53264 and 53277.

How to find the GCF of 53264 and 53277?

We will first find the prime factorization of 53264 and 53277. After we will calculate the factors of 53264 and 53277 and find the biggest common factor number .

Step-1: Prime Factorization of 53264

Prime factors of 53264 are 2, 3329. Prime factorization of 53264 in exponential form is:

53264 = 2⁴ × 3329¹

Step-2: 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-3: Factors of 53264

List of positive integer factors of 53264 that divides 53264 without a remainder.

1, 2, 4, 8, 16, 3329, 6658, 13316, 26632

Step-4: Factors of 53277

List of positive integer factors of 53277 that divides 53264 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53264 and 53277. The biggest common factor number is the GCF number.
So the greatest common factor 53264 and 53277 is 1.

Also check out the Least Common Multiple of 53264 and 53277