What is the Greatest Common Factor of 74750 and 74768?

Greatest common factor (GCF) of 74750 and 74768 is 2.

GCF(74750,74768) = 2

We will now calculate the prime factors of 74750 and 74768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74750 and 74768.

How to find the GCF of 74750 and 74768?

We will first find the prime factorization of 74750 and 74768. After we will calculate the factors of 74750 and 74768 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 74768

Prime factors of 74768 are 2, 4673. Prime factorization of 74768 in exponential form is:

74768 = 2⁴ × 4673¹

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 74768

List of positive integer factors of 74768 that divides 74750 without a remainder.

1, 2, 4, 8, 16, 4673, 9346, 18692, 37384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74750 and 74768. The biggest common factor number is the GCF number.
So the greatest common factor 74750 and 74768 is 2.

Also check out the Least Common Multiple of 74750 and 74768