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What is the Greatest Common Factor of 88044 and 88050?

Greatest common factor (GCF) of 88044 and 88050 is 6.

GCF(88044,88050) = 6

We will now calculate the prime factors of 88044 and 88050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88044 and 88050.

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How to find the GCF of 88044 and 88050?

We will first find the prime factorization of 88044 and 88050. After we will calculate the factors of 88044 and 88050 and find the biggest common factor number .

Step-1: Prime Factorization of 88044

Prime factors of 88044 are 2, 3, 11, 23, 29. Prime factorization of 88044 in exponential form is:

88044 = 22 × 31 × 111 × 231 × 291

Step-2: Prime Factorization of 88050

Prime factors of 88050 are 2, 3, 5, 587. Prime factorization of 88050 in exponential form is:

88050 = 21 × 31 × 52 × 5871

Step-3: Factors of 88044

List of positive integer factors of 88044 that divides 88044 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 23, 29, 33, 44, 46, 58, 66, 69, 87, 92, 116, 132, 138, 174, 253, 276, 319, 348, 506, 638, 667, 759, 957, 1012, 1276, 1334, 1518, 1914, 2001, 2668, 3036, 3828, 4002, 7337, 8004, 14674, 22011, 29348, 44022

Step-4: Factors of 88050

List of positive integer factors of 88050 that divides 88044 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 587, 1174, 1761, 2935, 3522, 5870, 8805, 14675, 17610, 29350, 44025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88044 and 88050. The biggest common factor number is the GCF number.
So the greatest common factor 88044 and 88050 is 6.

Also check out the Least Common Multiple of 88044 and 88050