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.
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
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Related Greatest Common Factors of 48235
- GCF of 48235 and 48239
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- GCF of 48235 and 48250
- GCF of 48235 and 48251
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