What is the Greatest Common Factor of 70828 and 70832?

Greatest common factor (GCF) of 70828 and 70832 is 4.

GCF(70828,70832) = 4

We will now calculate the prime factors of 70828 and 70832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70828 and 70832.

How to find the GCF of 70828 and 70832?

We will first find the prime factorization of 70828 and 70832. After we will calculate the factors of 70828 and 70832 and find the biggest common factor number .

Step-1: Prime Factorization of 70828

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

70828 = 2² × 17707¹

Step-2: Prime Factorization of 70832

Prime factors of 70832 are 2, 19, 233. Prime factorization of 70832 in exponential form is:

70832 = 2⁴ × 19¹ × 233¹

Step-3: Factors of 70828

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

1, 2, 4, 17707, 35414

Step-4: Factors of 70832

List of positive integer factors of 70832 that divides 70828 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 233, 304, 466, 932, 1864, 3728, 4427, 8854, 17708, 35416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70828 and 70832. The biggest common factor number is the GCF number.
So the greatest common factor 70828 and 70832 is 4.

Also check out the Least Common Multiple of 70828 and 70832