What is the Greatest Common Factor of 91926 and 91945?
Greatest common factor (GCF) of 91926 and 91945 is 1.
GCF(91926,91945) = 1
We will now calculate the prime factors of 91926 and 91945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91926 and 91945.
How to find the GCF of 91926 and 91945?
We will first find the prime factorization of 91926 and 91945. After we will calculate the factors of 91926 and 91945 and find the biggest common factor number .
Step-1: Prime Factorization of 91926
Prime factors of 91926 are 2, 3, 5107. Prime factorization of 91926 in exponential form is:
91926 = 21 × 32 × 51071
Step-2: Prime Factorization of 91945
Prime factors of 91945 are 5, 7, 37, 71. Prime factorization of 91945 in exponential form is:
91945 = 51 × 71 × 371 × 711
Step-3: Factors of 91926
List of positive integer factors of 91926 that divides 91926 without a remainder.
1, 2, 3, 6, 9, 18, 5107, 10214, 15321, 30642, 45963
Step-4: Factors of 91945
List of positive integer factors of 91945 that divides 91926 without a remainder.
1, 5, 7, 35, 37, 71, 185, 259, 355, 497, 1295, 2485, 2627, 13135, 18389
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 91926 and 91945. The biggest common factor number is the GCF number.
So the greatest common factor 91926 and 91945 is 1.
Also check out the Least Common Multiple of 91926 and 91945
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