What is the Greatest Common Factor of 24472 and 24490?

Greatest common factor (GCF) of 24472 and 24490 is 2.

GCF(24472,24490) = 2

We will now calculate the prime factors of 24472 and 24490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24472 and 24490.

How to find the GCF of 24472 and 24490?

We will first find the prime factorization of 24472 and 24490. After we will calculate the factors of 24472 and 24490 and find the biggest common factor number .

Step-1: Prime Factorization of 24472

Prime factors of 24472 are 2, 7, 19, 23. Prime factorization of 24472 in exponential form is:

24472 = 2³ × 7¹ × 19¹ × 23¹

Step-2: Prime Factorization of 24490

Prime factors of 24490 are 2, 5, 31, 79. Prime factorization of 24490 in exponential form is:

24490 = 2¹ × 5¹ × 31¹ × 79¹

Step-3: Factors of 24472

List of positive integer factors of 24472 that divides 24472 without a remainder.

1, 2, 4, 7, 8, 14, 19, 23, 28, 38, 46, 56, 76, 92, 133, 152, 161, 184, 266, 322, 437, 532, 644, 874, 1064, 1288, 1748, 3059, 3496, 6118, 12236

Step-4: Factors of 24490

List of positive integer factors of 24490 that divides 24472 without a remainder.

1, 2, 5, 10, 31, 62, 79, 155, 158, 310, 395, 790, 2449, 4898, 12245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24472 and 24490. The biggest common factor number is the GCF number.
So the greatest common factor 24472 and 24490 is 2.

Also check out the Least Common Multiple of 24472 and 24490