What is the Greatest Common Factor of 74730 and 74734?

Greatest common factor (GCF) of 74730 and 74734 is 2.

GCF(74730,74734) = 2

We will now calculate the prime factors of 74730 and 74734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74730 and 74734.

How to find the GCF of 74730 and 74734?

We will first find the prime factorization of 74730 and 74734. After we will calculate the factors of 74730 and 74734 and find the biggest common factor number .

Step-1: Prime Factorization of 74730

Prime factors of 74730 are 2, 3, 5, 47, 53. Prime factorization of 74730 in exponential form is:

74730 = 2¹ × 3¹ × 5¹ × 47¹ × 53¹

Step-2: Prime Factorization of 74734

Prime factors of 74734 are 2, 11, 43, 79. Prime factorization of 74734 in exponential form is:

74734 = 2¹ × 11¹ × 43¹ × 79¹

Step-3: Factors of 74730

List of positive integer factors of 74730 that divides 74730 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 47, 53, 94, 106, 141, 159, 235, 265, 282, 318, 470, 530, 705, 795, 1410, 1590, 2491, 4982, 7473, 12455, 14946, 24910, 37365

Step-4: Factors of 74734

List of positive integer factors of 74734 that divides 74730 without a remainder.

1, 2, 11, 22, 43, 79, 86, 158, 473, 869, 946, 1738, 3397, 6794, 37367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74730 and 74734. The biggest common factor number is the GCF number.
So the greatest common factor 74730 and 74734 is 2.

Also check out the Least Common Multiple of 74730 and 74734