What is the Greatest Common Factor of 45236 and 45248?

Greatest common factor (GCF) of 45236 and 45248 is 4.

GCF(45236,45248) = 4

We will now calculate the prime factors of 45236 and 45248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45236 and 45248.

How to find the GCF of 45236 and 45248?

We will first find the prime factorization of 45236 and 45248. After we will calculate the factors of 45236 and 45248 and find the biggest common factor number .

Step-1: Prime Factorization of 45236

Prime factors of 45236 are 2, 43, 263. Prime factorization of 45236 in exponential form is:

45236 = 2² × 43¹ × 263¹

Step-2: 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-3: Factors of 45236

List of positive integer factors of 45236 that divides 45236 without a remainder.

1, 2, 4, 43, 86, 172, 263, 526, 1052, 11309, 22618

Step-4: Factors of 45248

List of positive integer factors of 45248 that divides 45236 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45236 and 45248. The biggest common factor number is the GCF number.
So the greatest common factor 45236 and 45248 is 4.

Also check out the Least Common Multiple of 45236 and 45248