What is the Greatest Common Factor of 54752 and 54772?
Greatest common factor (GCF) of 54752 and 54772 is 4.
GCF(54752,54772) = 4
We will now calculate the prime factors of 54752 and 54772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54752 and 54772.
How to find the GCF of 54752 and 54772?
We will first find the prime factorization of 54752 and 54772. After we will calculate the factors of 54752 and 54772 and find the biggest common factor number .
Step-1: Prime Factorization of 54752
Prime factors of 54752 are 2, 29, 59. Prime factorization of 54752 in exponential form is:
54752 = 25 × 291 × 591
Step-2: Prime Factorization of 54772
Prime factors of 54772 are 2, 13693. Prime factorization of 54772 in exponential form is:
54772 = 22 × 136931
Step-3: Factors of 54752
List of positive integer factors of 54752 that divides 54752 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 59, 116, 118, 232, 236, 464, 472, 928, 944, 1711, 1888, 3422, 6844, 13688, 27376
Step-4: Factors of 54772
List of positive integer factors of 54772 that divides 54752 without a remainder.
1, 2, 4, 13693, 27386
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 54752 and 54772. The biggest common factor number is the GCF number.
So the greatest common factor 54752 and 54772 is 4.
Also check out the Least Common Multiple of 54752 and 54772
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