What is the Greatest Common Factor of 52976 and 52987?

Greatest common factor (GCF) of 52976 and 52987 is 11.

GCF(52976,52987) = 11

We will now calculate the prime factors of 52976 and 52987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52976 and 52987.

How to find the GCF of 52976 and 52987?

We will first find the prime factorization of 52976 and 52987. After we will calculate the factors of 52976 and 52987 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 52987

Prime factors of 52987 are 11, 4817. Prime factorization of 52987 in exponential form is:

52987 = 11¹ × 4817¹

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 52987

List of positive integer factors of 52987 that divides 52976 without a remainder.

1, 11, 4817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52976 and 52987. The biggest common factor number is the GCF number.
So the greatest common factor 52976 and 52987 is 11.

Also check out the Least Common Multiple of 52976 and 52987