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What is the Greatest Common Factor of 61050 and 61062?

Greatest common factor (GCF) of 61050 and 61062 is 6.

GCF(61050,61062) = 6

We will now calculate the prime factors of 61050 and 61062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61050 and 61062.

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How to find the GCF of 61050 and 61062?

We will first find the prime factorization of 61050 and 61062. After we will calculate the factors of 61050 and 61062 and find the biggest common factor number .

Step-1: Prime Factorization of 61050

Prime factors of 61050 are 2, 3, 5, 11, 37. Prime factorization of 61050 in exponential form is:

61050 = 21 × 31 × 52 × 111 × 371

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 61050

List of positive integer factors of 61050 that divides 61050 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 37, 50, 55, 66, 74, 75, 110, 111, 150, 165, 185, 222, 275, 330, 370, 407, 550, 555, 814, 825, 925, 1110, 1221, 1650, 1850, 2035, 2442, 2775, 4070, 5550, 6105, 10175, 12210, 20350, 30525

Step-4: Factors of 61062

List of positive integer factors of 61062 that divides 61050 without a remainder.

1, 2, 3, 6, 10177, 20354, 30531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61050 and 61062. The biggest common factor number is the GCF number.
So the greatest common factor 61050 and 61062 is 6.

Also check out the Least Common Multiple of 61050 and 61062