What is the Greatest Common Factor of 77700 and 77720?

Greatest common factor (GCF) of 77700 and 77720 is 20.

GCF(77700,77720) = 20

We will now calculate the prime factors of 77700 and 77720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77700 and 77720.

How to find the GCF of 77700 and 77720?

We will first find the prime factorization of 77700 and 77720. After we will calculate the factors of 77700 and 77720 and find the biggest common factor number .

Step-1: Prime Factorization of 77700

Prime factors of 77700 are 2, 3, 5, 7, 37. Prime factorization of 77700 in exponential form is:

77700 = 2² × 3¹ × 5² × 7¹ × 37¹

Step-2: Prime Factorization of 77720

Prime factors of 77720 are 2, 5, 29, 67. Prime factorization of 77720 in exponential form is:

77720 = 2³ × 5¹ × 29¹ × 67¹

Step-3: Factors of 77700

List of positive integer factors of 77700 that divides 77700 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 37, 42, 50, 60, 70, 74, 75, 84, 100, 105, 111, 140, 148, 150, 175, 185, 210, 222, 259, 300, 350, 370, 420, 444, 518, 525, 555, 700, 740, 777, 925, 1036, 1050, 1110, 1295, 1554, 1850, 2100, 2220, 2590, 2775, 3108, 3700, 3885, 5180, 5550, 6475, 7770, 11100, 12950, 15540, 19425, 25900, 38850

Step-4: Factors of 77720

List of positive integer factors of 77720 that divides 77700 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 67, 116, 134, 145, 232, 268, 290, 335, 536, 580, 670, 1160, 1340, 1943, 2680, 3886, 7772, 9715, 15544, 19430, 38860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77700 and 77720. The biggest common factor number is the GCF number.
So the greatest common factor 77700 and 77720 is 20.

Also check out the Least Common Multiple of 77700 and 77720