What is the Greatest Common Factor of 77250 and 77256?

Greatest common factor (GCF) of 77250 and 77256 is 6.

GCF(77250,77256) = 6

We will now calculate the prime factors of 77250 and 77256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77250 and 77256.

How to find the GCF of 77250 and 77256?

We will first find the prime factorization of 77250 and 77256. After we will calculate the factors of 77250 and 77256 and find the biggest common factor number .

Step-1: Prime Factorization of 77250

Prime factors of 77250 are 2, 3, 5, 103. Prime factorization of 77250 in exponential form is:

77250 = 2¹ × 3¹ × 5³ × 103¹

Step-2: Prime Factorization of 77256

Prime factors of 77256 are 2, 3, 29, 37. Prime factorization of 77256 in exponential form is:

77256 = 2³ × 3² × 29¹ × 37¹

Step-3: Factors of 77250

List of positive integer factors of 77250 that divides 77250 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 103, 125, 150, 206, 250, 309, 375, 515, 618, 750, 1030, 1545, 2575, 3090, 5150, 7725, 12875, 15450, 25750, 38625

Step-4: Factors of 77256

List of positive integer factors of 77256 that divides 77250 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 29, 36, 37, 58, 72, 74, 87, 111, 116, 148, 174, 222, 232, 261, 296, 333, 348, 444, 522, 666, 696, 888, 1044, 1073, 1332, 2088, 2146, 2664, 3219, 4292, 6438, 8584, 9657, 12876, 19314, 25752, 38628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77250 and 77256. The biggest common factor number is the GCF number.
So the greatest common factor 77250 and 77256 is 6.

Also check out the Least Common Multiple of 77250 and 77256