What is the Greatest Common Factor of 73780 and 73799?

Greatest common factor (GCF) of 73780 and 73799 is 1.

GCF(73780,73799) = 1

We will now calculate the prime factors of 73780 and 73799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73780 and 73799.

How to find the GCF of 73780 and 73799?

We will first find the prime factorization of 73780 and 73799. After we will calculate the factors of 73780 and 73799 and find the biggest common factor number .

Step-1: Prime Factorization of 73780

Prime factors of 73780 are 2, 5, 7, 17, 31. Prime factorization of 73780 in exponential form is:

73780 = 2² × 5¹ × 7¹ × 17¹ × 31¹

Step-2: Prime Factorization of 73799

Prime factors of 73799 are 11, 6709. Prime factorization of 73799 in exponential form is:

73799 = 11¹ × 6709¹

Step-3: Factors of 73780

List of positive integer factors of 73780 that divides 73780 without a remainder.

1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 31, 34, 35, 62, 68, 70, 85, 119, 124, 140, 155, 170, 217, 238, 310, 340, 434, 476, 527, 595, 620, 868, 1054, 1085, 1190, 2108, 2170, 2380, 2635, 3689, 4340, 5270, 7378, 10540, 14756, 18445, 36890

Step-4: Factors of 73799

List of positive integer factors of 73799 that divides 73780 without a remainder.

1, 11, 6709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73780 and 73799. The biggest common factor number is the GCF number.
So the greatest common factor 73780 and 73799 is 1.

Also check out the Least Common Multiple of 73780 and 73799