What is the Greatest Common Factor of 24475 and 24492?

Greatest common factor (GCF) of 24475 and 24492 is 1.

GCF(24475,24492) = 1

We will now calculate the prime factors of 24475 and 24492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24475 and 24492.

How to find the GCF of 24475 and 24492?

We will first find the prime factorization of 24475 and 24492. After we will calculate the factors of 24475 and 24492 and find the biggest common factor number .

Step-1: Prime Factorization of 24475

Prime factors of 24475 are 5, 11, 89. Prime factorization of 24475 in exponential form is:

24475 = 5² × 11¹ × 89¹

Step-2: Prime Factorization of 24492

Prime factors of 24492 are 2, 3, 13, 157. Prime factorization of 24492 in exponential form is:

24492 = 2² × 3¹ × 13¹ × 157¹

Step-3: Factors of 24475

List of positive integer factors of 24475 that divides 24475 without a remainder.

1, 5, 11, 25, 55, 89, 275, 445, 979, 2225, 4895

Step-4: Factors of 24492

List of positive integer factors of 24492 that divides 24475 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 157, 314, 471, 628, 942, 1884, 2041, 4082, 6123, 8164, 12246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24475 and 24492. The biggest common factor number is the GCF number.
So the greatest common factor 24475 and 24492 is 1.

Also check out the Least Common Multiple of 24475 and 24492