What is the Greatest Common Factor of 74732 and 74750?

Greatest common factor (GCF) of 74732 and 74750 is 2.

GCF(74732,74750) = 2

We will now calculate the prime factors of 74732 and 74750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74732 and 74750.

How to find the GCF of 74732 and 74750?

We will first find the prime factorization of 74732 and 74750. After we will calculate the factors of 74732 and 74750 and find the biggest common factor number .

Step-1: Prime Factorization of 74732

Prime factors of 74732 are 2, 7, 17, 157. Prime factorization of 74732 in exponential form is:

74732 = 2² × 7¹ × 17¹ × 157¹

Step-2: 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-3: Factors of 74732

List of positive integer factors of 74732 that divides 74732 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 157, 238, 314, 476, 628, 1099, 2198, 2669, 4396, 5338, 10676, 18683, 37366

Step-4: Factors of 74750

List of positive integer factors of 74750 that divides 74732 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74732 and 74750. The biggest common factor number is the GCF number.
So the greatest common factor 74732 and 74750 is 2.

Also check out the Least Common Multiple of 74732 and 74750