What is the Greatest Common Factor of 52924 and 52932?

Greatest common factor (GCF) of 52924 and 52932 is 4.

GCF(52924,52932) = 4

We will now calculate the prime factors of 52924 and 52932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52924 and 52932.

How to find the GCF of 52924 and 52932?

We will first find the prime factorization of 52924 and 52932. After we will calculate the factors of 52924 and 52932 and find the biggest common factor number .

Step-1: Prime Factorization of 52924

Prime factors of 52924 are 2, 101, 131. Prime factorization of 52924 in exponential form is:

52924 = 2² × 101¹ × 131¹

Step-2: Prime Factorization of 52932

Prime factors of 52932 are 2, 3, 11, 401. Prime factorization of 52932 in exponential form is:

52932 = 2² × 3¹ × 11¹ × 401¹

Step-3: Factors of 52924

List of positive integer factors of 52924 that divides 52924 without a remainder.

1, 2, 4, 101, 131, 202, 262, 404, 524, 13231, 26462

Step-4: Factors of 52932

List of positive integer factors of 52932 that divides 52924 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 401, 802, 1203, 1604, 2406, 4411, 4812, 8822, 13233, 17644, 26466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52924 and 52932. The biggest common factor number is the GCF number.
So the greatest common factor 52924 and 52932 is 4.

Also check out the Least Common Multiple of 52924 and 52932