What is the Greatest Common Factor of 74750 and 74770?

Greatest common factor (GCF) of 74750 and 74770 is 10.

GCF(74750,74770) = 10

We will now calculate the prime factors of 74750 and 74770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74750 and 74770.

How to find the GCF of 74750 and 74770?

We will first find the prime factorization of 74750 and 74770. After we will calculate the factors of 74750 and 74770 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 74770

Prime factors of 74770 are 2, 5, 7477. Prime factorization of 74770 in exponential form is:

74770 = 2¹ × 5¹ × 7477¹

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 74770

List of positive integer factors of 74770 that divides 74750 without a remainder.

1, 2, 5, 10, 7477, 14954, 37385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74750 and 74770. The biggest common factor number is the GCF number.
So the greatest common factor 74750 and 74770 is 10.

Also check out the Least Common Multiple of 74750 and 74770