What is the Greatest Common Factor of 61746 and 61758?

Greatest common factor (GCF) of 61746 and 61758 is 6.

GCF(61746,61758) = 6

We will now calculate the prime factors of 61746 and 61758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61746 and 61758.

How to find the GCF of 61746 and 61758?

We will first find the prime factorization of 61746 and 61758. After we will calculate the factors of 61746 and 61758 and find the biggest common factor number .

Step-1: Prime Factorization of 61746

Prime factors of 61746 are 2, 3, 41, 251. Prime factorization of 61746 in exponential form is:

61746 = 2¹ × 3¹ × 41¹ × 251¹

Step-2: Prime Factorization of 61758

Prime factors of 61758 are 2, 3, 47, 73. Prime factorization of 61758 in exponential form is:

61758 = 2¹ × 3² × 47¹ × 73¹

Step-3: Factors of 61746

List of positive integer factors of 61746 that divides 61746 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 251, 502, 753, 1506, 10291, 20582, 30873

Step-4: Factors of 61758

List of positive integer factors of 61758 that divides 61746 without a remainder.

1, 2, 3, 6, 9, 18, 47, 73, 94, 141, 146, 219, 282, 423, 438, 657, 846, 1314, 3431, 6862, 10293, 20586, 30879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61746 and 61758. The biggest common factor number is the GCF number.
So the greatest common factor 61746 and 61758 is 6.

Also check out the Least Common Multiple of 61746 and 61758