What is the Greatest Common Factor of 77700 and 77712?

Greatest common factor (GCF) of 77700 and 77712 is 12.

GCF(77700,77712) = 12

We will now calculate the prime factors of 77700 and 77712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77700 and 77712.

How to find the GCF of 77700 and 77712?

We will first find the prime factorization of 77700 and 77712. After we will calculate the factors of 77700 and 77712 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 77712

Prime factors of 77712 are 2, 3, 1619. Prime factorization of 77712 in exponential form is:

77712 = 2⁴ × 3¹ × 1619¹

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 77712

List of positive integer factors of 77712 that divides 77700 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1619, 3238, 4857, 6476, 9714, 12952, 19428, 25904, 38856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77700 and 77712. The biggest common factor number is the GCF number.
So the greatest common factor 77700 and 77712 is 12.

Also check out the Least Common Multiple of 77700 and 77712