What is the Greatest Common Factor of 63758 and 63774?

Greatest common factor (GCF) of 63758 and 63774 is 2.

GCF(63758,63774) = 2

We will now calculate the prime factors of 63758 and 63774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63758 and 63774.

How to find the GCF of 63758 and 63774?

We will first find the prime factorization of 63758 and 63774. After we will calculate the factors of 63758 and 63774 and find the biggest common factor number .

Step-1: Prime Factorization of 63758

Prime factors of 63758 are 2, 71, 449. Prime factorization of 63758 in exponential form is:

63758 = 2¹ × 71¹ × 449¹

Step-2: Prime Factorization of 63774

Prime factors of 63774 are 2, 3, 1181. Prime factorization of 63774 in exponential form is:

63774 = 2¹ × 3³ × 1181¹

Step-3: Factors of 63758

List of positive integer factors of 63758 that divides 63758 without a remainder.

1, 2, 71, 142, 449, 898, 31879

Step-4: Factors of 63774

List of positive integer factors of 63774 that divides 63758 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1181, 2362, 3543, 7086, 10629, 21258, 31887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63758 and 63774. The biggest common factor number is the GCF number.
So the greatest common factor 63758 and 63774 is 2.

Also check out the Least Common Multiple of 63758 and 63774