What is the Greatest Common Factor of 10970 and 10980?

Greatest common factor (GCF) of 10970 and 10980 is 10.

GCF(10970,10980) = 10

We will now calculate the prime factors of 10970 and 10980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10970 and 10980.

How to find the GCF of 10970 and 10980?

We will first find the prime factorization of 10970 and 10980. After we will calculate the factors of 10970 and 10980 and find the biggest common factor number .

Step-1: Prime Factorization of 10970

Prime factors of 10970 are 2, 5, 1097. Prime factorization of 10970 in exponential form is:

10970 = 2¹ × 5¹ × 1097¹

Step-2: 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-3: Factors of 10970

List of positive integer factors of 10970 that divides 10970 without a remainder.

1, 2, 5, 10, 1097, 2194, 5485

Step-4: Factors of 10980

List of positive integer factors of 10980 that divides 10970 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10970 and 10980. The biggest common factor number is the GCF number.
So the greatest common factor 10970 and 10980 is 10.

Also check out the Least Common Multiple of 10970 and 10980