What is the Greatest Common Factor of 60814 and 60832?

Greatest common factor (GCF) of 60814 and 60832 is 2.

GCF(60814,60832) = 2

We will now calculate the prime factors of 60814 and 60832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60814 and 60832.

How to find the GCF of 60814 and 60832?

We will first find the prime factorization of 60814 and 60832. After we will calculate the factors of 60814 and 60832 and find the biggest common factor number .

Step-1: Prime Factorization of 60814

Prime factors of 60814 are 2, 13, 2339. Prime factorization of 60814 in exponential form is:

60814 = 2¹ × 13¹ × 2339¹

Step-2: Prime Factorization of 60832

Prime factors of 60832 are 2, 1901. Prime factorization of 60832 in exponential form is:

60832 = 2⁵ × 1901¹

Step-3: Factors of 60814

List of positive integer factors of 60814 that divides 60814 without a remainder.

1, 2, 13, 26, 2339, 4678, 30407

Step-4: Factors of 60832

List of positive integer factors of 60832 that divides 60814 without a remainder.

1, 2, 4, 8, 16, 32, 1901, 3802, 7604, 15208, 30416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60814 and 60832. The biggest common factor number is the GCF number.
So the greatest common factor 60814 and 60832 is 2.

Also check out the Least Common Multiple of 60814 and 60832