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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.

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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