What is the Greatest Common Factor of 73046 and 73050?
Greatest common factor (GCF) of 73046 and 73050 is 2.
GCF(73046,73050) = 2
We will now calculate the prime factors of 73046 and 73050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73046 and 73050.
How to find the GCF of 73046 and 73050?
We will first find the prime factorization of 73046 and 73050. After we will calculate the factors of 73046 and 73050 and find the biggest common factor number .
Step-1: Prime Factorization of 73046
Prime factors of 73046 are 2, 36523. Prime factorization of 73046 in exponential form is:
73046 = 21 × 365231
Step-2: Prime Factorization of 73050
Prime factors of 73050 are 2, 3, 5, 487. Prime factorization of 73050 in exponential form is:
73050 = 21 × 31 × 52 × 4871
Step-3: Factors of 73046
List of positive integer factors of 73046 that divides 73046 without a remainder.
1, 2, 36523
Step-4: Factors of 73050
List of positive integer factors of 73050 that divides 73046 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 487, 974, 1461, 2435, 2922, 4870, 7305, 12175, 14610, 24350, 36525
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 73046 and 73050. The biggest common factor number is the GCF number.
So the greatest common factor 73046 and 73050 is 2.
Also check out the Least Common Multiple of 73046 and 73050
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