What is the Greatest Common Factor of 54980 and 54990?
Greatest common factor (GCF) of 54980 and 54990 is 10.
GCF(54980,54990) = 10
We will now calculate the prime factors of 54980 and 54990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54980 and 54990.
How to find the GCF of 54980 and 54990?
We will first find the prime factorization of 54980 and 54990. After we will calculate the factors of 54980 and 54990 and find the biggest common factor number .
Step-1: Prime Factorization of 54980
Prime factors of 54980 are 2, 5, 2749. Prime factorization of 54980 in exponential form is:
54980 = 22 × 51 × 27491
Step-2: Prime Factorization of 54990
Prime factors of 54990 are 2, 3, 5, 13, 47. Prime factorization of 54990 in exponential form is:
54990 = 21 × 32 × 51 × 131 × 471
Step-3: Factors of 54980
List of positive integer factors of 54980 that divides 54980 without a remainder.
1, 2, 4, 5, 10, 20, 2749, 5498, 10996, 13745, 27490
Step-4: Factors of 54990
List of positive integer factors of 54990 that divides 54980 without a remainder.
1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 47, 65, 78, 90, 94, 117, 130, 141, 195, 234, 235, 282, 390, 423, 470, 585, 611, 705, 846, 1170, 1222, 1410, 1833, 2115, 3055, 3666, 4230, 5499, 6110, 9165, 10998, 18330, 27495
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 54980 and 54990. The biggest common factor number is the GCF number.
So the greatest common factor 54980 and 54990 is 10.
Also check out the Least Common Multiple of 54980 and 54990
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Related Greatest Common Factors of 54990
- GCF of 54990 and 54994
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