What is the Greatest Common Factor of 52976 and 52983?

Greatest common factor (GCF) of 52976 and 52983 is 7.

GCF(52976,52983) = 7

We will now calculate the prime factors of 52976 and 52983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52976 and 52983.

How to find the GCF of 52976 and 52983?

We will first find the prime factorization of 52976 and 52983. After we will calculate the factors of 52976 and 52983 and find the biggest common factor number .

Step-1: Prime Factorization of 52976

Prime factors of 52976 are 2, 7, 11, 43. Prime factorization of 52976 in exponential form is:

52976 = 2⁴ × 7¹ × 11¹ × 43¹

Step-2: Prime Factorization of 52983

Prime factors of 52983 are 3, 7, 29. Prime factorization of 52983 in exponential form is:

52983 = 3² × 7¹ × 29²

Step-3: Factors of 52976

List of positive integer factors of 52976 that divides 52976 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 43, 44, 56, 77, 86, 88, 112, 154, 172, 176, 301, 308, 344, 473, 602, 616, 688, 946, 1204, 1232, 1892, 2408, 3311, 3784, 4816, 6622, 7568, 13244, 26488

Step-4: Factors of 52983

List of positive integer factors of 52983 that divides 52976 without a remainder.

1, 3, 7, 9, 21, 29, 63, 87, 203, 261, 609, 841, 1827, 2523, 5887, 7569, 17661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52976 and 52983. The biggest common factor number is the GCF number.
So the greatest common factor 52976 and 52983 is 7.

Also check out the Least Common Multiple of 52976 and 52983