What is the Greatest Common Factor of 45248 and 45254?

Greatest common factor (GCF) of 45248 and 45254 is 2.

GCF(45248,45254) = 2

We will now calculate the prime factors of 45248 and 45254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45248 and 45254.

How to find the GCF of 45248 and 45254?

We will first find the prime factorization of 45248 and 45254. After we will calculate the factors of 45248 and 45254 and find the biggest common factor number .

Step-1: Prime Factorization of 45248

Prime factors of 45248 are 2, 7, 101. Prime factorization of 45248 in exponential form is:

45248 = 2⁶ × 7¹ × 101¹

Step-2: Prime Factorization of 45254

Prime factors of 45254 are 2, 11, 17. Prime factorization of 45254 in exponential form is:

45254 = 2¹ × 11³ × 17¹

Step-3: Factors of 45248

List of positive integer factors of 45248 that divides 45248 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 101, 112, 202, 224, 404, 448, 707, 808, 1414, 1616, 2828, 3232, 5656, 6464, 11312, 22624

Step-4: Factors of 45254

List of positive integer factors of 45254 that divides 45248 without a remainder.

1, 2, 11, 17, 22, 34, 121, 187, 242, 374, 1331, 2057, 2662, 4114, 22627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45248 and 45254. The biggest common factor number is the GCF number.
So the greatest common factor 45248 and 45254 is 2.

Also check out the Least Common Multiple of 45248 and 45254