What is the Greatest Common Factor of 47972 and 47976?

Greatest common factor (GCF) of 47972 and 47976 is 4.

GCF(47972,47976) = 4

We will now calculate the prime factors of 47972 and 47976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47972 and 47976.

How to find the GCF of 47972 and 47976?

We will first find the prime factorization of 47972 and 47976. After we will calculate the factors of 47972 and 47976 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47976

Prime factors of 47976 are 2, 3, 1999. Prime factorization of 47976 in exponential form is:

47976 = 2³ × 3¹ × 1999¹

Step-3: Factors of 47972

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

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

Step-4: Factors of 47976

List of positive integer factors of 47976 that divides 47972 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1999, 3998, 5997, 7996, 11994, 15992, 23988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47972 and 47976. The biggest common factor number is the GCF number.
So the greatest common factor 47972 and 47976 is 4.

Also check out the Least Common Multiple of 47972 and 47976