What is the Greatest Common Factor of 74538 and 74550?

Greatest common factor (GCF) of 74538 and 74550 is 6.

GCF(74538,74550) = 6

We will now calculate the prime factors of 74538 and 74550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74538 and 74550.

How to find the GCF of 74538 and 74550?

We will first find the prime factorization of 74538 and 74550. After we will calculate the factors of 74538 and 74550 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 74550

Prime factors of 74550 are 2, 3, 5, 7, 71. Prime factorization of 74550 in exponential form is:

74550 = 2¹ × 3¹ × 5² × 7¹ × 71¹

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 74550

List of positive integer factors of 74550 that divides 74538 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 71, 75, 105, 142, 150, 175, 210, 213, 350, 355, 426, 497, 525, 710, 994, 1050, 1065, 1491, 1775, 2130, 2485, 2982, 3550, 4970, 5325, 7455, 10650, 12425, 14910, 24850, 37275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74538 and 74550. The biggest common factor number is the GCF number.
So the greatest common factor 74538 and 74550 is 6.

Also check out the Least Common Multiple of 74538 and 74550