What is the Greatest Common Factor of 60868 and 60880?

Greatest common factor (GCF) of 60868 and 60880 is 4.

GCF(60868,60880) = 4

We will now calculate the prime factors of 60868 and 60880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60868 and 60880.

How to find the GCF of 60868 and 60880?

We will first find the prime factorization of 60868 and 60880. After we will calculate the factors of 60868 and 60880 and find the biggest common factor number .

Step-1: Prime Factorization of 60868

Prime factors of 60868 are 2, 15217. Prime factorization of 60868 in exponential form is:

60868 = 2² × 15217¹

Step-2: 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-3: Factors of 60868

List of positive integer factors of 60868 that divides 60868 without a remainder.

1, 2, 4, 15217, 30434

Step-4: Factors of 60880

List of positive integer factors of 60880 that divides 60868 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60868 and 60880. The biggest common factor number is the GCF number.
So the greatest common factor 60868 and 60880 is 4.

Also check out the Least Common Multiple of 60868 and 60880