What is the Greatest Common Factor of 74746 and 74766?

Greatest common factor (GCF) of 74746 and 74766 is 2.

GCF(74746,74766) = 2

We will now calculate the prime factors of 74746 and 74766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74746 and 74766.

How to find the GCF of 74746 and 74766?

We will first find the prime factorization of 74746 and 74766. After we will calculate the factors of 74746 and 74766 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74766

Prime factors of 74766 are 2, 3, 17, 733. Prime factorization of 74766 in exponential form is:

74766 = 2¹ × 3¹ × 17¹ × 733¹

Step-3: Factors of 74746

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

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

Step-4: Factors of 74766

List of positive integer factors of 74766 that divides 74746 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 733, 1466, 2199, 4398, 12461, 24922, 37383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74746 and 74766. The biggest common factor number is the GCF number.
So the greatest common factor 74746 and 74766 is 2.

Also check out the Least Common Multiple of 74746 and 74766