What is the Greatest Common Factor of 74750 and 74766?

Greatest common factor (GCF) of 74750 and 74766 is 2.

GCF(74750,74766) = 2

We will now calculate the prime factors of 74750 and 74766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74750 and 74766.

How to find the GCF of 74750 and 74766?

We will first find the prime factorization of 74750 and 74766. After we will calculate the factors of 74750 and 74766 and find the biggest common factor number .

Step-1: Prime Factorization of 74750

Prime factors of 74750 are 2, 5, 13, 23. Prime factorization of 74750 in exponential form is:

74750 = 2¹ × 5³ × 13¹ × 23¹

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 74750

List of positive integer factors of 74750 that divides 74750 without a remainder.

1, 2, 5, 10, 13, 23, 25, 26, 46, 50, 65, 115, 125, 130, 230, 250, 299, 325, 575, 598, 650, 1150, 1495, 1625, 2875, 2990, 3250, 5750, 7475, 14950, 37375

Step-4: Factors of 74766

List of positive integer factors of 74766 that divides 74750 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 74750 and 74766. The biggest common factor number is the GCF number.
So the greatest common factor 74750 and 74766 is 2.

Also check out the Least Common Multiple of 74750 and 74766