What is the Greatest Common Factor of 28770 and 28776?

Greatest common factor (GCF) of 28770 and 28776 is 6.

GCF(28770,28776) = 6

We will now calculate the prime factors of 28770 and 28776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28770 and 28776.

How to find the GCF of 28770 and 28776?

We will first find the prime factorization of 28770 and 28776. After we will calculate the factors of 28770 and 28776 and find the biggest common factor number .

Step-1: Prime Factorization of 28770

Prime factors of 28770 are 2, 3, 5, 7, 137. Prime factorization of 28770 in exponential form is:

28770 = 2¹ × 3¹ × 5¹ × 7¹ × 137¹

Step-2: Prime Factorization of 28776

Prime factors of 28776 are 2, 3, 11, 109. Prime factorization of 28776 in exponential form is:

28776 = 2³ × 3¹ × 11¹ × 109¹

Step-3: Factors of 28770

List of positive integer factors of 28770 that divides 28770 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 137, 210, 274, 411, 685, 822, 959, 1370, 1918, 2055, 2877, 4110, 4795, 5754, 9590, 14385

Step-4: Factors of 28776

List of positive integer factors of 28776 that divides 28770 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 109, 132, 218, 264, 327, 436, 654, 872, 1199, 1308, 2398, 2616, 3597, 4796, 7194, 9592, 14388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28770 and 28776. The biggest common factor number is the GCF number.
So the greatest common factor 28770 and 28776 is 6.

Also check out the Least Common Multiple of 28770 and 28776