What is the Greatest Common Factor of 8970 and 8980?

Greatest common factor (GCF) of 8970 and 8980 is 10.

GCF(8970,8980) = 10

We will now calculate the prime factors of 8970 and 8980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8970 and 8980.

How to find the GCF of 8970 and 8980?

We will first find the prime factorization of 8970 and 8980. After we will calculate the factors of 8970 and 8980 and find the biggest common factor number .

Step-1: Prime Factorization of 8970

Prime factors of 8970 are 2, 3, 5, 13, 23. Prime factorization of 8970 in exponential form is:

8970 = 2¹ × 3¹ × 5¹ × 13¹ × 23¹

Step-2: Prime Factorization of 8980

Prime factors of 8980 are 2, 5, 449. Prime factorization of 8980 in exponential form is:

8980 = 2² × 5¹ × 449¹

Step-3: Factors of 8970

List of positive integer factors of 8970 that divides 8970 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 23, 26, 30, 39, 46, 65, 69, 78, 115, 130, 138, 195, 230, 299, 345, 390, 598, 690, 897, 1495, 1794, 2990, 4485

Step-4: Factors of 8980

List of positive integer factors of 8980 that divides 8970 without a remainder.

1, 2, 4, 5, 10, 20, 449, 898, 1796, 2245, 4490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8970 and 8980. The biggest common factor number is the GCF number.
So the greatest common factor 8970 and 8980 is 10.

Also check out the Least Common Multiple of 8970 and 8980