What is the Greatest Common Factor of 52758 and 52776?

Greatest common factor (GCF) of 52758 and 52776 is 18.

GCF(52758,52776) = 18

We will now calculate the prime factors of 52758 and 52776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52758 and 52776.

How to find the GCF of 52758 and 52776?

We will first find the prime factorization of 52758 and 52776. After we will calculate the factors of 52758 and 52776 and find the biggest common factor number .

Step-1: Prime Factorization of 52758

Prime factors of 52758 are 2, 3, 977. Prime factorization of 52758 in exponential form is:

52758 = 2¹ × 3³ × 977¹

Step-2: Prime Factorization of 52776

Prime factors of 52776 are 2, 3, 733. Prime factorization of 52776 in exponential form is:

52776 = 2³ × 3² × 733¹

Step-3: Factors of 52758

List of positive integer factors of 52758 that divides 52758 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 977, 1954, 2931, 5862, 8793, 17586, 26379

Step-4: Factors of 52776

List of positive integer factors of 52776 that divides 52758 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 733, 1466, 2199, 2932, 4398, 5864, 6597, 8796, 13194, 17592, 26388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52758 and 52776. The biggest common factor number is the GCF number.
So the greatest common factor 52758 and 52776 is 18.

Also check out the Least Common Multiple of 52758 and 52776