What is the Greatest Common Factor of 10980 and 10998?

Greatest common factor (GCF) of 10980 and 10998 is 18.

GCF(10980,10998) = 18

We will now calculate the prime factors of 10980 and 10998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10980 and 10998.

How to find the GCF of 10980 and 10998?

We will first find the prime factorization of 10980 and 10998. After we will calculate the factors of 10980 and 10998 and find the biggest common factor number .

Step-1: Prime Factorization of 10980

Prime factors of 10980 are 2, 3, 5, 61. Prime factorization of 10980 in exponential form is:

10980 = 2² × 3² × 5¹ × 61¹

Step-2: Prime Factorization of 10998

Prime factors of 10998 are 2, 3, 13, 47. Prime factorization of 10998 in exponential form is:

10998 = 2¹ × 3² × 13¹ × 47¹

Step-3: Factors of 10980

List of positive integer factors of 10980 that divides 10980 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 61, 90, 122, 180, 183, 244, 305, 366, 549, 610, 732, 915, 1098, 1220, 1830, 2196, 2745, 3660, 5490

Step-4: Factors of 10998

List of positive integer factors of 10998 that divides 10980 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 47, 78, 94, 117, 141, 234, 282, 423, 611, 846, 1222, 1833, 3666, 5499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10980 and 10998. The biggest common factor number is the GCF number.
So the greatest common factor 10980 and 10998 is 18.

Also check out the Least Common Multiple of 10980 and 10998