What is the Greatest Common Factor of 5520 and 5524?
Greatest common factor (GCF) of 5520 and 5524 is 4.
GCF(5520,5524) = 4
We will now calculate the prime factors of 5520 and 5524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5520 and 5524.
How to find the GCF of 5520 and 5524?
We will first find the prime factorization of 5520 and 5524. After we will calculate the factors of 5520 and 5524 and find the biggest common factor number .
Step-1: Prime Factorization of 5520
Prime factors of 5520 are 2, 3, 5, 23. Prime factorization of 5520 in exponential form is:
5520 = 24 × 31 × 51 × 231
Step-2: Prime Factorization of 5524
Prime factors of 5524 are 2, 1381. Prime factorization of 5524 in exponential form is:
5524 = 22 × 13811
Step-3: Factors of 5520
List of positive integer factors of 5520 that divides 5520 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 40, 46, 48, 60, 69, 80, 92, 115, 120, 138, 184, 230, 240, 276, 345, 368, 460, 552, 690, 920, 1104, 1380, 1840, 2760
Step-4: Factors of 5524
List of positive integer factors of 5524 that divides 5520 without a remainder.
1, 2, 4, 1381, 2762
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5520 and 5524. The biggest common factor number is the GCF number.
So the greatest common factor 5520 and 5524 is 4.
Also check out the Least Common Multiple of 5520 and 5524
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Related Greatest Common Factors of 5524
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