What is the Greatest Common Factor of 70824 and 70828?

Greatest common factor (GCF) of 70824 and 70828 is 4.

GCF(70824,70828) = 4

We will now calculate the prime factors of 70824 and 70828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70824 and 70828.

How to find the GCF of 70824 and 70828?

We will first find the prime factorization of 70824 and 70828. After we will calculate the factors of 70824 and 70828 and find the biggest common factor number .

Step-1: Prime Factorization of 70824

Prime factors of 70824 are 2, 3, 13, 227. Prime factorization of 70824 in exponential form is:

70824 = 2³ × 3¹ × 13¹ × 227¹

Step-2: Prime Factorization of 70828

Prime factors of 70828 are 2, 17707. Prime factorization of 70828 in exponential form is:

70828 = 2² × 17707¹

Step-3: Factors of 70824

List of positive integer factors of 70824 that divides 70824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 227, 312, 454, 681, 908, 1362, 1816, 2724, 2951, 5448, 5902, 8853, 11804, 17706, 23608, 35412

Step-4: Factors of 70828

List of positive integer factors of 70828 that divides 70824 without a remainder.

1, 2, 4, 17707, 35414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70824 and 70828. The biggest common factor number is the GCF number.
So the greatest common factor 70824 and 70828 is 4.

Also check out the Least Common Multiple of 70824 and 70828