What is the Greatest Common Factor of 52962 and 52976?

Greatest common factor (GCF) of 52962 and 52976 is 14.

GCF(52962,52976) = 14

We will now calculate the prime factors of 52962 and 52976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52962 and 52976.

How to find the GCF of 52962 and 52976?

We will first find the prime factorization of 52962 and 52976. After we will calculate the factors of 52962 and 52976 and find the biggest common factor number .

Step-1: Prime Factorization of 52962

Prime factors of 52962 are 2, 3, 7, 13, 97. Prime factorization of 52962 in exponential form is:

52962 = 2¹ × 3¹ × 7¹ × 13¹ × 97¹

Step-2: 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-3: Factors of 52962

List of positive integer factors of 52962 that divides 52962 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 97, 182, 194, 273, 291, 546, 582, 679, 1261, 1358, 2037, 2522, 3783, 4074, 7566, 8827, 17654, 26481

Step-4: Factors of 52976

List of positive integer factors of 52976 that divides 52962 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52962 and 52976. The biggest common factor number is the GCF number.
So the greatest common factor 52962 and 52976 is 14.

Also check out the Least Common Multiple of 52962 and 52976