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What is the Greatest Common Factor of 48312 and 48325?

Greatest common factor (GCF) of 48312 and 48325 is 1.

GCF(48312,48325) = 1

We will now calculate the prime factors of 48312 and 48325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48312 and 48325.

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How to find the GCF of 48312 and 48325?

We will first find the prime factorization of 48312 and 48325. After we will calculate the factors of 48312 and 48325 and find the biggest common factor number .

Step-1: Prime Factorization of 48312

Prime factors of 48312 are 2, 3, 11, 61. Prime factorization of 48312 in exponential form is:

48312 = 23 × 32 × 111 × 611

Step-2: Prime Factorization of 48325

Prime factors of 48325 are 5, 1933. Prime factorization of 48325 in exponential form is:

48325 = 52 × 19331

Step-3: Factors of 48312

List of positive integer factors of 48312 that divides 48312 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 61, 66, 72, 88, 99, 122, 132, 183, 198, 244, 264, 366, 396, 488, 549, 671, 732, 792, 1098, 1342, 1464, 2013, 2196, 2684, 4026, 4392, 5368, 6039, 8052, 12078, 16104, 24156

Step-4: Factors of 48325

List of positive integer factors of 48325 that divides 48312 without a remainder.

1, 5, 25, 1933, 9665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48312 and 48325. The biggest common factor number is the GCF number.
So the greatest common factor 48312 and 48325 is 1.

Also check out the Least Common Multiple of 48312 and 48325