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What is the Greatest Common Factor of 44472 and 44490?

Greatest common factor (GCF) of 44472 and 44490 is 6.

GCF(44472,44490) = 6

We will now calculate the prime factors of 44472 and 44490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44472 and 44490.

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How to find the GCF of 44472 and 44490?

We will first find the prime factorization of 44472 and 44490. After we will calculate the factors of 44472 and 44490 and find the biggest common factor number .

Step-1: Prime Factorization of 44472

Prime factors of 44472 are 2, 3, 17, 109. Prime factorization of 44472 in exponential form is:

44472 = 23 × 31 × 171 × 1091

Step-2: Prime Factorization of 44490

Prime factors of 44490 are 2, 3, 5, 1483. Prime factorization of 44490 in exponential form is:

44490 = 21 × 31 × 51 × 14831

Step-3: Factors of 44472

List of positive integer factors of 44472 that divides 44472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 109, 136, 204, 218, 327, 408, 436, 654, 872, 1308, 1853, 2616, 3706, 5559, 7412, 11118, 14824, 22236

Step-4: Factors of 44490

List of positive integer factors of 44490 that divides 44472 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1483, 2966, 4449, 7415, 8898, 14830, 22245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44472 and 44490. The biggest common factor number is the GCF number.
So the greatest common factor 44472 and 44490 is 6.

Also check out the Least Common Multiple of 44472 and 44490