What is the Greatest Common Factor of 77693 and 77700?

Greatest common factor (GCF) of 77693 and 77700 is 7.

GCF(77693,77700) = 7

We will now calculate the prime factors of 77693 and 77700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77693 and 77700.

How to find the GCF of 77693 and 77700?

We will first find the prime factorization of 77693 and 77700. After we will calculate the factors of 77693 and 77700 and find the biggest common factor number .

Step-1: Prime Factorization of 77693

Prime factors of 77693 are 7, 11, 1009. Prime factorization of 77693 in exponential form is:

77693 = 7¹ × 11¹ × 1009¹

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 77693

List of positive integer factors of 77693 that divides 77693 without a remainder.

1, 7, 11, 77, 1009, 7063, 11099

Step-4: Factors of 77700

List of positive integer factors of 77700 that divides 77693 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 77693 and 77700. The biggest common factor number is the GCF number.
So the greatest common factor 77693 and 77700 is 7.

Also check out the Least Common Multiple of 77693 and 77700