What is the Greatest Common Factor of 92760 and 92764?
Greatest common factor (GCF) of 92760 and 92764 is 4.
GCF(92760,92764) = 4
We will now calculate the prime factors of 92760 and 92764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92760 and 92764.
How to find the GCF of 92760 and 92764?
We will first find the prime factorization of 92760 and 92764. After we will calculate the factors of 92760 and 92764 and find the biggest common factor number .
Step-1: Prime Factorization of 92760
Prime factors of 92760 are 2, 3, 5, 773. Prime factorization of 92760 in exponential form is:
92760 = 23 × 31 × 51 × 7731
Step-2: Prime Factorization of 92764
Prime factors of 92764 are 2, 7, 3313. Prime factorization of 92764 in exponential form is:
92764 = 22 × 71 × 33131
Step-3: Factors of 92760
List of positive integer factors of 92760 that divides 92760 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 773, 1546, 2319, 3092, 3865, 4638, 6184, 7730, 9276, 11595, 15460, 18552, 23190, 30920, 46380
Step-4: Factors of 92764
List of positive integer factors of 92764 that divides 92760 without a remainder.
1, 2, 4, 7, 14, 28, 3313, 6626, 13252, 23191, 46382
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 92760 and 92764. The biggest common factor number is the GCF number.
So the greatest common factor 92760 and 92764 is 4.
Also check out the Least Common Multiple of 92760 and 92764
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