What is the Greatest Common Factor of 73088 and 73098?
Greatest common factor (GCF) of 73088 and 73098 is 2.
GCF(73088,73098) = 2
We will now calculate the prime factors of 73088 and 73098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73088 and 73098.
How to find the GCF of 73088 and 73098?
We will first find the prime factorization of 73088 and 73098. After we will calculate the factors of 73088 and 73098 and find the biggest common factor number .
Step-1: Prime Factorization of 73088
Prime factors of 73088 are 2, 571. Prime factorization of 73088 in exponential form is:
73088 = 27 × 5711
Step-2: Prime Factorization of 73098
Prime factors of 73098 are 2, 3, 31, 131. Prime factorization of 73098 in exponential form is:
73098 = 21 × 32 × 311 × 1311
Step-3: Factors of 73088
List of positive integer factors of 73088 that divides 73088 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 571, 1142, 2284, 4568, 9136, 18272, 36544
Step-4: Factors of 73098
List of positive integer factors of 73098 that divides 73088 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 131, 186, 262, 279, 393, 558, 786, 1179, 2358, 4061, 8122, 12183, 24366, 36549
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 73088 and 73098. The biggest common factor number is the GCF number.
So the greatest common factor 73088 and 73098 is 2.
Also check out the Least Common Multiple of 73088 and 73098
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