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What is the Greatest Common Factor of 48224 and 48235?

Greatest common factor (GCF) of 48224 and 48235 is 11.

GCF(48224,48235) = 11

We will now calculate the prime factors of 48224 and 48235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48224 and 48235.

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How to find the GCF of 48224 and 48235?

We will first find the prime factorization of 48224 and 48235. After we will calculate the factors of 48224 and 48235 and find the biggest common factor number .

Step-1: Prime Factorization of 48224

Prime factors of 48224 are 2, 11, 137. Prime factorization of 48224 in exponential form is:

48224 = 25 × 111 × 1371

Step-2: Prime Factorization of 48235

Prime factors of 48235 are 5, 11, 877. Prime factorization of 48235 in exponential form is:

48235 = 51 × 111 × 8771

Step-3: Factors of 48224

List of positive integer factors of 48224 that divides 48224 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 137, 176, 274, 352, 548, 1096, 1507, 2192, 3014, 4384, 6028, 12056, 24112

Step-4: Factors of 48235

List of positive integer factors of 48235 that divides 48224 without a remainder.

1, 5, 11, 55, 877, 4385, 9647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48224 and 48235. The biggest common factor number is the GCF number.
So the greatest common factor 48224 and 48235 is 11.

Also check out the Least Common Multiple of 48224 and 48235