What is the Greatest Common Factor of 47964 and 47972?

Greatest common factor (GCF) of 47964 and 47972 is 4.

GCF(47964,47972) = 4

We will now calculate the prime factors of 47964 and 47972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47964 and 47972.

How to find the GCF of 47964 and 47972?

We will first find the prime factorization of 47964 and 47972. After we will calculate the factors of 47964 and 47972 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 47972

Prime factors of 47972 are 2, 67, 179. Prime factorization of 47972 in exponential form is:

47972 = 2² × 67¹ × 179¹

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 47972

List of positive integer factors of 47972 that divides 47964 without a remainder.

1, 2, 4, 67, 134, 179, 268, 358, 716, 11993, 23986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47964 and 47972. The biggest common factor number is the GCF number.
So the greatest common factor 47964 and 47972 is 4.

Also check out the Least Common Multiple of 47964 and 47972