What is the Greatest Common Factor of 65970 and 65988?

Greatest common factor (GCF) of 65970 and 65988 is 18.

GCF(65970,65988) = 18

We will now calculate the prime factors of 65970 and 65988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65970 and 65988.

How to find the GCF of 65970 and 65988?

We will first find the prime factorization of 65970 and 65988. After we will calculate the factors of 65970 and 65988 and find the biggest common factor number .

Step-1: Prime Factorization of 65970

Prime factors of 65970 are 2, 3, 5, 733. Prime factorization of 65970 in exponential form is:

65970 = 2¹ × 3² × 5¹ × 733¹

Step-2: Prime Factorization of 65988

Prime factors of 65988 are 2, 3, 13, 47. Prime factorization of 65988 in exponential form is:

65988 = 2² × 3³ × 13¹ × 47¹

Step-3: Factors of 65970

List of positive integer factors of 65970 that divides 65970 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 733, 1466, 2199, 3665, 4398, 6597, 7330, 10995, 13194, 21990, 32985

Step-4: Factors of 65988

List of positive integer factors of 65988 that divides 65970 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 47, 52, 54, 78, 94, 108, 117, 141, 156, 188, 234, 282, 351, 423, 468, 564, 611, 702, 846, 1222, 1269, 1404, 1692, 1833, 2444, 2538, 3666, 5076, 5499, 7332, 10998, 16497, 21996, 32994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65970 and 65988. The biggest common factor number is the GCF number.
So the greatest common factor 65970 and 65988 is 18.

Also check out the Least Common Multiple of 65970 and 65988