What is the Greatest Common Factor of 55825 and 55836?

Greatest common factor (GCF) of 55825 and 55836 is 11.

GCF(55825,55836) = 11

We will now calculate the prime factors of 55825 and 55836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55825 and 55836.

How to find the GCF of 55825 and 55836?

We will first find the prime factorization of 55825 and 55836. After we will calculate the factors of 55825 and 55836 and find the biggest common factor number .

Step-1: Prime Factorization of 55825

Prime factors of 55825 are 5, 7, 11, 29. Prime factorization of 55825 in exponential form is:

55825 = 5² × 7¹ × 11¹ × 29¹

Step-2: Prime Factorization of 55836

Prime factors of 55836 are 2, 3, 11, 47. Prime factorization of 55836 in exponential form is:

55836 = 2² × 3³ × 11¹ × 47¹

Step-3: Factors of 55825

List of positive integer factors of 55825 that divides 55825 without a remainder.

1, 5, 7, 11, 25, 29, 35, 55, 77, 145, 175, 203, 275, 319, 385, 725, 1015, 1595, 1925, 2233, 5075, 7975, 11165

Step-4: Factors of 55836

List of positive integer factors of 55836 that divides 55825 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 47, 54, 66, 94, 99, 108, 132, 141, 188, 198, 282, 297, 396, 423, 517, 564, 594, 846, 1034, 1188, 1269, 1551, 1692, 2068, 2538, 3102, 4653, 5076, 6204, 9306, 13959, 18612, 27918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55825 and 55836. The biggest common factor number is the GCF number.
So the greatest common factor 55825 and 55836 is 11.

Also check out the Least Common Multiple of 55825 and 55836