What is the Greatest Common Factor of 53766 and 53775?

Greatest common factor (GCF) of 53766 and 53775 is 9.

GCF(53766,53775) = 9

We will now calculate the prime factors of 53766 and 53775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53766 and 53775.

How to find the GCF of 53766 and 53775?

We will first find the prime factorization of 53766 and 53775. After we will calculate the factors of 53766 and 53775 and find the biggest common factor number .

Step-1: Prime Factorization of 53766

Prime factors of 53766 are 2, 3, 29, 103. Prime factorization of 53766 in exponential form is:

53766 = 2¹ × 3² × 29¹ × 103¹

Step-2: Prime Factorization of 53775

Prime factors of 53775 are 3, 5, 239. Prime factorization of 53775 in exponential form is:

53775 = 3² × 5² × 239¹

Step-3: Factors of 53766

List of positive integer factors of 53766 that divides 53766 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 103, 174, 206, 261, 309, 522, 618, 927, 1854, 2987, 5974, 8961, 17922, 26883

Step-4: Factors of 53775

List of positive integer factors of 53775 that divides 53766 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 239, 717, 1195, 2151, 3585, 5975, 10755, 17925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53766 and 53775. The biggest common factor number is the GCF number.
So the greatest common factor 53766 and 53775 is 9.

Also check out the Least Common Multiple of 53766 and 53775