What is the Greatest Common Factor of 74518 and 74537?

Greatest common factor (GCF) of 74518 and 74537 is 19.

GCF(74518,74537) = 19

We will now calculate the prime factors of 74518 and 74537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74518 and 74537.

How to find the GCF of 74518 and 74537?

We will first find the prime factorization of 74518 and 74537. After we will calculate the factors of 74518 and 74537 and find the biggest common factor number .

Step-1: Prime Factorization of 74518

Prime factors of 74518 are 2, 19, 37, 53. Prime factorization of 74518 in exponential form is:

74518 = 2¹ × 19¹ × 37¹ × 53¹

Step-2: Prime Factorization of 74537

Prime factors of 74537 are 19, 3923. Prime factorization of 74537 in exponential form is:

74537 = 19¹ × 3923¹

Step-3: Factors of 74518

List of positive integer factors of 74518 that divides 74518 without a remainder.

1, 2, 19, 37, 38, 53, 74, 106, 703, 1007, 1406, 1961, 2014, 3922, 37259

Step-4: Factors of 74537

List of positive integer factors of 74537 that divides 74518 without a remainder.

1, 19, 3923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74518 and 74537. The biggest common factor number is the GCF number.
So the greatest common factor 74518 and 74537 is 19.

Also check out the Least Common Multiple of 74518 and 74537