What is the Greatest Common Factor of 60880 and 60894?

Greatest common factor (GCF) of 60880 and 60894 is 2.

GCF(60880,60894) = 2

We will now calculate the prime factors of 60880 and 60894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60880 and 60894.

How to find the GCF of 60880 and 60894?

We will first find the prime factorization of 60880 and 60894. After we will calculate the factors of 60880 and 60894 and find the biggest common factor number .

Step-1: Prime Factorization of 60880

Prime factors of 60880 are 2, 5, 761. Prime factorization of 60880 in exponential form is:

60880 = 2⁴ × 5¹ × 761¹

Step-2: Prime Factorization of 60894

Prime factors of 60894 are 2, 3, 17, 199. Prime factorization of 60894 in exponential form is:

60894 = 2¹ × 3² × 17¹ × 199¹

Step-3: Factors of 60880

List of positive integer factors of 60880 that divides 60880 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 761, 1522, 3044, 3805, 6088, 7610, 12176, 15220, 30440

Step-4: Factors of 60894

List of positive integer factors of 60894 that divides 60880 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 199, 306, 398, 597, 1194, 1791, 3383, 3582, 6766, 10149, 20298, 30447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60880 and 60894. The biggest common factor number is the GCF number.
So the greatest common factor 60880 and 60894 is 2.

Also check out the Least Common Multiple of 60880 and 60894