What is the Greatest Common Factor of 74538 and 74552?

Greatest common factor (GCF) of 74538 and 74552 is 2.

GCF(74538,74552) = 2

We will now calculate the prime factors of 74538 and 74552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74538 and 74552.

How to find the GCF of 74538 and 74552?

We will first find the prime factorization of 74538 and 74552. After we will calculate the factors of 74538 and 74552 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74552

Prime factors of 74552 are 2, 9319. Prime factorization of 74552 in exponential form is:

74552 = 2³ × 9319¹

Step-3: Factors of 74538

List of positive integer factors of 74538 that divides 74538 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

Step-4: Factors of 74552

List of positive integer factors of 74552 that divides 74538 without a remainder.

1, 2, 4, 8, 9319, 18638, 37276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74538 and 74552. The biggest common factor number is the GCF number.
So the greatest common factor 74538 and 74552 is 2.

Also check out the Least Common Multiple of 74538 and 74552