What is the Greatest Common Factor of 61044 and 61062?
Greatest common factor (GCF) of 61044 and 61062 is 6.
GCF(61044,61062) = 6
We will now calculate the prime factors of 61044 and 61062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61044 and 61062.
How to find the GCF of 61044 and 61062?
We will first find the prime factorization of 61044 and 61062. After we will calculate the factors of 61044 and 61062 and find the biggest common factor number .
Step-1: Prime Factorization of 61044
Prime factors of 61044 are 2, 3, 5087. Prime factorization of 61044 in exponential form is:
61044 = 22 × 31 × 50871
Step-2: Prime Factorization of 61062
Prime factors of 61062 are 2, 3, 10177. Prime factorization of 61062 in exponential form is:
61062 = 21 × 31 × 101771
Step-3: Factors of 61044
List of positive integer factors of 61044 that divides 61044 without a remainder.
1, 2, 3, 4, 6, 12, 5087, 10174, 15261, 20348, 30522
Step-4: Factors of 61062
List of positive integer factors of 61062 that divides 61044 without a remainder.
1, 2, 3, 6, 10177, 20354, 30531
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 61044 and 61062. The biggest common factor number is the GCF number.
So the greatest common factor 61044 and 61062 is 6.
Also check out the Least Common Multiple of 61044 and 61062
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