What is the Greatest Common Factor of 63758 and 63768?

Greatest common factor (GCF) of 63758 and 63768 is 2.

GCF(63758,63768) = 2

We will now calculate the prime factors of 63758 and 63768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63758 and 63768.

How to find the GCF of 63758 and 63768?

We will first find the prime factorization of 63758 and 63768. After we will calculate the factors of 63758 and 63768 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 63768

Prime factors of 63768 are 2, 3, 2657. Prime factorization of 63768 in exponential form is:

63768 = 2³ × 3¹ × 2657¹

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 63768

List of positive integer factors of 63768 that divides 63758 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2657, 5314, 7971, 10628, 15942, 21256, 31884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63758 and 63768. The biggest common factor number is the GCF number.
So the greatest common factor 63758 and 63768 is 2.

Also check out the Least Common Multiple of 63758 and 63768