What is the Greatest Common Factor of 60880 and 60890?

Greatest common factor (GCF) of 60880 and 60890 is 10.

GCF(60880,60890) = 10

We will now calculate the prime factors of 60880 and 60890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60880 and 60890.

How to find the GCF of 60880 and 60890?

We will first find the prime factorization of 60880 and 60890. After we will calculate the factors of 60880 and 60890 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 60890

Prime factors of 60890 are 2, 5, 6089. Prime factorization of 60890 in exponential form is:

60890 = 2¹ × 5¹ × 6089¹

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 60890

List of positive integer factors of 60890 that divides 60880 without a remainder.

1, 2, 5, 10, 6089, 12178, 30445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60880 and 60890. The biggest common factor number is the GCF number.
So the greatest common factor 60880 and 60890 is 10.

Also check out the Least Common Multiple of 60880 and 60890