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What is the Greatest Common Factor of 44250 and 44265?

Greatest common factor (GCF) of 44250 and 44265 is 15.

GCF(44250,44265) = 15

We will now calculate the prime factors of 44250 and 44265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44250 and 44265.

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How to find the GCF of 44250 and 44265?

We will first find the prime factorization of 44250 and 44265. After we will calculate the factors of 44250 and 44265 and find the biggest common factor number .

Step-1: Prime Factorization of 44250

Prime factors of 44250 are 2, 3, 5, 59. Prime factorization of 44250 in exponential form is:

44250 = 21 × 31 × 53 × 591

Step-2: Prime Factorization of 44265

Prime factors of 44265 are 3, 5, 13, 227. Prime factorization of 44265 in exponential form is:

44265 = 31 × 51 × 131 × 2271

Step-3: Factors of 44250

List of positive integer factors of 44250 that divides 44250 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 59, 75, 118, 125, 150, 177, 250, 295, 354, 375, 590, 750, 885, 1475, 1770, 2950, 4425, 7375, 8850, 14750, 22125

Step-4: Factors of 44265

List of positive integer factors of 44265 that divides 44250 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 227, 681, 1135, 2951, 3405, 8853, 14755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44250 and 44265. The biggest common factor number is the GCF number.
So the greatest common factor 44250 and 44265 is 15.

Also check out the Least Common Multiple of 44250 and 44265