What is the Greatest Common Factor of 52452 and 52462?

Greatest common factor (GCF) of 52452 and 52462 is 2.

GCF(52452,52462) = 2

We will now calculate the prime factors of 52452 and 52462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52452 and 52462.

How to find the GCF of 52452 and 52462?

We will first find the prime factorization of 52452 and 52462. After we will calculate the factors of 52452 and 52462 and find the biggest common factor number .

Step-1: Prime Factorization of 52452

Prime factors of 52452 are 2, 3, 31, 47. Prime factorization of 52452 in exponential form is:

52452 = 2² × 3² × 31¹ × 47¹

Step-2: Prime Factorization of 52462

Prime factors of 52462 are 2, 17, 1543. Prime factorization of 52462 in exponential form is:

52462 = 2¹ × 17¹ × 1543¹

Step-3: Factors of 52452

List of positive integer factors of 52452 that divides 52452 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 47, 62, 93, 94, 124, 141, 186, 188, 279, 282, 372, 423, 558, 564, 846, 1116, 1457, 1692, 2914, 4371, 5828, 8742, 13113, 17484, 26226

Step-4: Factors of 52462

List of positive integer factors of 52462 that divides 52452 without a remainder.

1, 2, 17, 34, 1543, 3086, 26231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52452 and 52462. The biggest common factor number is the GCF number.
So the greatest common factor 52452 and 52462 is 2.

Also check out the Least Common Multiple of 52452 and 52462