What is the Greatest Common Factor of 45296 and 45301?

Greatest common factor (GCF) of 45296 and 45301 is 1.

GCF(45296,45301) = 1

We will now calculate the prime factors of 45296 and 45301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45296 and 45301.

How to find the GCF of 45296 and 45301?

We will first find the prime factorization of 45296 and 45301. After we will calculate the factors of 45296 and 45301 and find the biggest common factor number .

Step-1: Prime Factorization of 45296

Prime factors of 45296 are 2, 19, 149. Prime factorization of 45296 in exponential form is:

45296 = 2⁴ × 19¹ × 149¹

Step-2: Prime Factorization of 45301

Prime factors of 45301 are 89, 509. Prime factorization of 45301 in exponential form is:

45301 = 89¹ × 509¹

Step-3: Factors of 45296

List of positive integer factors of 45296 that divides 45296 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 149, 152, 298, 304, 596, 1192, 2384, 2831, 5662, 11324, 22648

Step-4: Factors of 45301

List of positive integer factors of 45301 that divides 45296 without a remainder.

1, 89, 509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45296 and 45301. The biggest common factor number is the GCF number.
So the greatest common factor 45296 and 45301 is 1.

Also check out the Least Common Multiple of 45296 and 45301