What is the Greatest Common Factor of 77684 and 77700?

Greatest common factor (GCF) of 77684 and 77700 is 4.

GCF(77684,77700) = 4

We will now calculate the prime factors of 77684 and 77700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77684 and 77700.

How to find the GCF of 77684 and 77700?

We will first find the prime factorization of 77684 and 77700. After we will calculate the factors of 77684 and 77700 and find the biggest common factor number .

Step-1: Prime Factorization of 77684

Prime factors of 77684 are 2, 19421. Prime factorization of 77684 in exponential form is:

77684 = 2² × 19421¹

Step-2: 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-3: Factors of 77684

List of positive integer factors of 77684 that divides 77684 without a remainder.

1, 2, 4, 19421, 38842

Step-4: Factors of 77700

List of positive integer factors of 77700 that divides 77684 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77684 and 77700. The biggest common factor number is the GCF number.
So the greatest common factor 77684 and 77700 is 4.

Also check out the Least Common Multiple of 77684 and 77700