What is the Greatest Common Factor of 73744 and 73753?

Greatest common factor (GCF) of 73744 and 73753 is 1.

GCF(73744,73753) = 1

We will now calculate the prime factors of 73744 and 73753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73744 and 73753.

How to find the GCF of 73744 and 73753?

We will first find the prime factorization of 73744 and 73753. After we will calculate the factors of 73744 and 73753 and find the biggest common factor number .

Step-1: Prime Factorization of 73744

Prime factors of 73744 are 2, 11, 419. Prime factorization of 73744 in exponential form is:

73744 = 2⁴ × 11¹ × 419¹

Step-2: Prime Factorization of 73753

Prime factors of 73753 are 131, 563. Prime factorization of 73753 in exponential form is:

73753 = 131¹ × 563¹

Step-3: Factors of 73744

List of positive integer factors of 73744 that divides 73744 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 419, 838, 1676, 3352, 4609, 6704, 9218, 18436, 36872

Step-4: Factors of 73753

List of positive integer factors of 73753 that divides 73744 without a remainder.

1, 131, 563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73744 and 73753. The biggest common factor number is the GCF number.
So the greatest common factor 73744 and 73753 is 1.

Also check out the Least Common Multiple of 73744 and 73753