What is the Greatest Common Factor of 24528 and 24542?

Greatest common factor (GCF) of 24528 and 24542 is 14.

GCF(24528,24542) = 14

We will now calculate the prime factors of 24528 and 24542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24528 and 24542.

How to find the GCF of 24528 and 24542?

We will first find the prime factorization of 24528 and 24542. After we will calculate the factors of 24528 and 24542 and find the biggest common factor number .

Step-1: Prime Factorization of 24528

Prime factors of 24528 are 2, 3, 7, 73. Prime factorization of 24528 in exponential form is:

24528 = 2⁴ × 3¹ × 7¹ × 73¹

Step-2: Prime Factorization of 24542

Prime factors of 24542 are 2, 7, 1753. Prime factorization of 24542 in exponential form is:

24542 = 2¹ × 7¹ × 1753¹

Step-3: Factors of 24528

List of positive integer factors of 24528 that divides 24528 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 73, 84, 112, 146, 168, 219, 292, 336, 438, 511, 584, 876, 1022, 1168, 1533, 1752, 2044, 3066, 3504, 4088, 6132, 8176, 12264

Step-4: Factors of 24542

List of positive integer factors of 24542 that divides 24528 without a remainder.

1, 2, 7, 14, 1753, 3506, 12271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24528 and 24542. The biggest common factor number is the GCF number.
So the greatest common factor 24528 and 24542 is 14.

Also check out the Least Common Multiple of 24528 and 24542