What is the Greatest Common Factor of 62754 and 62766?

Greatest common factor (GCF) of 62754 and 62766 is 6.

GCF(62754,62766) = 6

We will now calculate the prime factors of 62754 and 62766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62754 and 62766.

How to find the GCF of 62754 and 62766?

We will first find the prime factorization of 62754 and 62766. After we will calculate the factors of 62754 and 62766 and find the biggest common factor number .

Step-1: Prime Factorization of 62754

Prime factors of 62754 are 2, 3, 10459. Prime factorization of 62754 in exponential form is:

62754 = 2¹ × 3¹ × 10459¹

Step-2: Prime Factorization of 62766

Prime factors of 62766 are 2, 3, 11, 317. Prime factorization of 62766 in exponential form is:

62766 = 2¹ × 3² × 11¹ × 317¹

Step-3: Factors of 62754

List of positive integer factors of 62754 that divides 62754 without a remainder.

1, 2, 3, 6, 10459, 20918, 31377

Step-4: Factors of 62766

List of positive integer factors of 62766 that divides 62754 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 317, 634, 951, 1902, 2853, 3487, 5706, 6974, 10461, 20922, 31383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62754 and 62766. The biggest common factor number is the GCF number.
So the greatest common factor 62754 and 62766 is 6.

Also check out the Least Common Multiple of 62754 and 62766