What is the Greatest Common Factor of 23972 and 23976?

Greatest common factor (GCF) of 23972 and 23976 is 4.

GCF(23972,23976) = 4

We will now calculate the prime factors of 23972 and 23976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23972 and 23976.

How to find the GCF of 23972 and 23976?

We will first find the prime factorization of 23972 and 23976. After we will calculate the factors of 23972 and 23976 and find the biggest common factor number .

Step-1: Prime Factorization of 23972

Prime factors of 23972 are 2, 13, 461. Prime factorization of 23972 in exponential form is:

23972 = 2² × 13¹ × 461¹

Step-2: Prime Factorization of 23976

Prime factors of 23976 are 2, 3, 37. Prime factorization of 23976 in exponential form is:

23976 = 2³ × 3⁴ × 37¹

Step-3: Factors of 23972

List of positive integer factors of 23972 that divides 23972 without a remainder.

1, 2, 4, 13, 26, 52, 461, 922, 1844, 5993, 11986

Step-4: Factors of 23976

List of positive integer factors of 23976 that divides 23972 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 37, 54, 72, 74, 81, 108, 111, 148, 162, 216, 222, 296, 324, 333, 444, 648, 666, 888, 999, 1332, 1998, 2664, 2997, 3996, 5994, 7992, 11988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23972 and 23976. The biggest common factor number is the GCF number.
So the greatest common factor 23972 and 23976 is 4.

Also check out the Least Common Multiple of 23972 and 23976