What is the Greatest Common Factor of 5224 and 5244?
Greatest common factor (GCF) of 5224 and 5244 is 4.
GCF(5224,5244) = 4
We will now calculate the prime factors of 5224 and 5244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5224 and 5244.
How to find the GCF of 5224 and 5244?
We will first find the prime factorization of 5224 and 5244. After we will calculate the factors of 5224 and 5244 and find the biggest common factor number .
Step-1: Prime Factorization of 5224
Prime factors of 5224 are 2, 653. Prime factorization of 5224 in exponential form is:
5224 = 23 × 6531
Step-2: Prime Factorization of 5244
Prime factors of 5244 are 2, 3, 19, 23. Prime factorization of 5244 in exponential form is:
5244 = 22 × 31 × 191 × 231
Step-3: Factors of 5224
List of positive integer factors of 5224 that divides 5224 without a remainder.
1, 2, 4, 8, 653, 1306, 2612
Step-4: Factors of 5244
List of positive integer factors of 5244 that divides 5224 without a remainder.
1, 2, 3, 4, 6, 12, 19, 23, 38, 46, 57, 69, 76, 92, 114, 138, 228, 276, 437, 874, 1311, 1748, 2622
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5224 and 5244. The biggest common factor number is the GCF number.
So the greatest common factor 5224 and 5244 is 4.
Also check out the Least Common Multiple of 5224 and 5244
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