What is the Greatest Common Factor of 54940 and 54948?
Greatest common factor (GCF) of 54940 and 54948 is 4.
GCF(54940,54948) = 4
We will now calculate the prime factors of 54940 and 54948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54940 and 54948.
How to find the GCF of 54940 and 54948?
We will first find the prime factorization of 54940 and 54948. After we will calculate the factors of 54940 and 54948 and find the biggest common factor number .
Step-1: Prime Factorization of 54940
Prime factors of 54940 are 2, 5, 41, 67. Prime factorization of 54940 in exponential form is:
54940 = 22 × 51 × 411 × 671
Step-2: Prime Factorization of 54948
Prime factors of 54948 are 2, 3, 19, 241. Prime factorization of 54948 in exponential form is:
54948 = 22 × 31 × 191 × 2411
Step-3: Factors of 54940
List of positive integer factors of 54940 that divides 54940 without a remainder.
1, 2, 4, 5, 10, 20, 41, 67, 82, 134, 164, 205, 268, 335, 410, 670, 820, 1340, 2747, 5494, 10988, 13735, 27470
Step-4: Factors of 54948
List of positive integer factors of 54948 that divides 54940 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 241, 482, 723, 964, 1446, 2892, 4579, 9158, 13737, 18316, 27474
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 54940 and 54948. The biggest common factor number is the GCF number.
So the greatest common factor 54940 and 54948 is 4.
Also check out the Least Common Multiple of 54940 and 54948
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