What is the Greatest Common Factor of 25228 and 25248?

Greatest common factor (GCF) of 25228 and 25248 is 4.

GCF(25228,25248) = 4

We will now calculate the prime factors of 25228 and 25248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25228 and 25248.

How to find the GCF of 25228 and 25248?

We will first find the prime factorization of 25228 and 25248. After we will calculate the factors of 25228 and 25248 and find the biggest common factor number .

Step-1: Prime Factorization of 25228

Prime factors of 25228 are 2, 7, 17, 53. Prime factorization of 25228 in exponential form is:

25228 = 2² × 7¹ × 17¹ × 53¹

Step-2: Prime Factorization of 25248

Prime factors of 25248 are 2, 3, 263. Prime factorization of 25248 in exponential form is:

25248 = 2⁵ × 3¹ × 263¹

Step-3: Factors of 25228

List of positive integer factors of 25228 that divides 25228 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 53, 68, 106, 119, 212, 238, 371, 476, 742, 901, 1484, 1802, 3604, 6307, 12614

Step-4: Factors of 25248

List of positive integer factors of 25248 that divides 25228 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 263, 526, 789, 1052, 1578, 2104, 3156, 4208, 6312, 8416, 12624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25228 and 25248. The biggest common factor number is the GCF number.
So the greatest common factor 25228 and 25248 is 4.

Also check out the Least Common Multiple of 25228 and 25248