What is the Greatest Common Factor of 74730 and 74746?

Greatest common factor (GCF) of 74730 and 74746 is 2.

GCF(74730,74746) = 2

We will now calculate the prime factors of 74730 and 74746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74730 and 74746.

How to find the GCF of 74730 and 74746?

We will first find the prime factorization of 74730 and 74746. After we will calculate the factors of 74730 and 74746 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 74746

Prime factors of 74746 are 2, 7, 19, 281. Prime factorization of 74746 in exponential form is:

74746 = 2¹ × 7¹ × 19¹ × 281¹

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 74746

List of positive integer factors of 74746 that divides 74730 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 281, 562, 1967, 3934, 5339, 10678, 37373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74730 and 74746. The biggest common factor number is the GCF number.
So the greatest common factor 74730 and 74746 is 2.

Also check out the Least Common Multiple of 74730 and 74746