What is the Greatest Common Factor of 14880 and 14890?

Greatest common factor (GCF) of 14880 and 14890 is 10.

GCF(14880,14890) = 10

We will now calculate the prime factors of 14880 and 14890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14880 and 14890.

How to find the GCF of 14880 and 14890?

We will first find the prime factorization of 14880 and 14890. After we will calculate the factors of 14880 and 14890 and find the biggest common factor number .

Step-1: Prime Factorization of 14880

Prime factors of 14880 are 2, 3, 5, 31. Prime factorization of 14880 in exponential form is:

14880 = 2⁵ × 3¹ × 5¹ × 31¹

Step-2: Prime Factorization of 14890

Prime factors of 14890 are 2, 5, 1489. Prime factorization of 14890 in exponential form is:

14890 = 2¹ × 5¹ × 1489¹

Step-3: Factors of 14880

List of positive integer factors of 14880 that divides 14880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 32, 40, 48, 60, 62, 80, 93, 96, 120, 124, 155, 160, 186, 240, 248, 310, 372, 465, 480, 496, 620, 744, 930, 992, 1240, 1488, 1860, 2480, 2976, 3720, 4960, 7440

Step-4: Factors of 14890

List of positive integer factors of 14890 that divides 14880 without a remainder.

1, 2, 5, 10, 1489, 2978, 7445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14880 and 14890. The biggest common factor number is the GCF number.
So the greatest common factor 14880 and 14890 is 10.

Also check out the Least Common Multiple of 14880 and 14890