What is the Greatest Common Factor of 62742 and 62757?

Greatest common factor (GCF) of 62742 and 62757 is 3.

GCF(62742,62757) = 3

We will now calculate the prime factors of 62742 and 62757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62742 and 62757.

How to find the GCF of 62742 and 62757?

We will first find the prime factorization of 62742 and 62757. After we will calculate the factors of 62742 and 62757 and find the biggest common factor number .

Step-1: Prime Factorization of 62742

Prime factors of 62742 are 2, 3, 10457. Prime factorization of 62742 in exponential form is:

62742 = 2¹ × 3¹ × 10457¹

Step-2: Prime Factorization of 62757

Prime factors of 62757 are 3, 19, 367. Prime factorization of 62757 in exponential form is:

62757 = 3² × 19¹ × 367¹

Step-3: Factors of 62742

List of positive integer factors of 62742 that divides 62742 without a remainder.

1, 2, 3, 6, 10457, 20914, 31371

Step-4: Factors of 62757

List of positive integer factors of 62757 that divides 62742 without a remainder.

1, 3, 9, 19, 57, 171, 367, 1101, 3303, 6973, 20919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62742 and 62757. The biggest common factor number is the GCF number.
So the greatest common factor 62742 and 62757 is 3.

Also check out the Least Common Multiple of 62742 and 62757