What is the Greatest Common Factor of 47964 and 47970?

Greatest common factor (GCF) of 47964 and 47970 is 6.

GCF(47964,47970) = 6

We will now calculate the prime factors of 47964 and 47970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47964 and 47970.

How to find the GCF of 47964 and 47970?

We will first find the prime factorization of 47964 and 47970. After we will calculate the factors of 47964 and 47970 and find the biggest common factor number .

Step-1: Prime Factorization of 47964

Prime factors of 47964 are 2, 3, 7, 571. Prime factorization of 47964 in exponential form is:

47964 = 2² × 3¹ × 7¹ × 571¹

Step-2: Prime Factorization of 47970

Prime factors of 47970 are 2, 3, 5, 13, 41. Prime factorization of 47970 in exponential form is:

47970 = 2¹ × 3² × 5¹ × 13¹ × 41¹

Step-3: Factors of 47964

List of positive integer factors of 47964 that divides 47964 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 571, 1142, 1713, 2284, 3426, 3997, 6852, 7994, 11991, 15988, 23982

Step-4: Factors of 47970

List of positive integer factors of 47970 that divides 47964 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 41, 45, 65, 78, 82, 90, 117, 123, 130, 195, 205, 234, 246, 369, 390, 410, 533, 585, 615, 738, 1066, 1170, 1230, 1599, 1845, 2665, 3198, 3690, 4797, 5330, 7995, 9594, 15990, 23985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47964 and 47970. The biggest common factor number is the GCF number.
So the greatest common factor 47964 and 47970 is 6.

Also check out the Least Common Multiple of 47964 and 47970