What is the Greatest Common Factor of 74519 and 74538?

Greatest common factor (GCF) of 74519 and 74538 is 1.

GCF(74519,74538) = 1

We will now calculate the prime factors of 74519 and 74538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74519 and 74538.

How to find the GCF of 74519 and 74538?

We will first find the prime factorization of 74519 and 74538. After we will calculate the factors of 74519 and 74538 and find the biggest common factor number .

Step-1: Prime Factorization of 74519

Prime factors of 74519 are 43, 1733. Prime factorization of 74519 in exponential form is:

74519 = 43¹ × 1733¹

Step-2: Prime Factorization of 74538

Prime factors of 74538 are 2, 3, 41, 101. Prime factorization of 74538 in exponential form is:

74538 = 2¹ × 3² × 41¹ × 101¹

Step-3: Factors of 74519

List of positive integer factors of 74519 that divides 74519 without a remainder.

1, 43, 1733

Step-4: Factors of 74538

List of positive integer factors of 74538 that divides 74519 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 101, 123, 202, 246, 303, 369, 606, 738, 909, 1818, 4141, 8282, 12423, 24846, 37269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74519 and 74538. The biggest common factor number is the GCF number.
So the greatest common factor 74519 and 74538 is 1.

Also check out the Least Common Multiple of 74519 and 74538