What is the Greatest Common Factor of 62768 and 62772?

Greatest common factor (GCF) of 62768 and 62772 is 4.

GCF(62768,62772) = 4

We will now calculate the prime factors of 62768 and 62772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62768 and 62772.

How to find the GCF of 62768 and 62772?

We will first find the prime factorization of 62768 and 62772. After we will calculate the factors of 62768 and 62772 and find the biggest common factor number .

Step-1: Prime Factorization of 62768

Prime factors of 62768 are 2, 3923. Prime factorization of 62768 in exponential form is:

62768 = 2⁴ × 3923¹

Step-2: Prime Factorization of 62772

Prime factors of 62772 are 2, 3, 5231. Prime factorization of 62772 in exponential form is:

62772 = 2² × 3¹ × 5231¹

Step-3: Factors of 62768

List of positive integer factors of 62768 that divides 62768 without a remainder.

1, 2, 4, 8, 16, 3923, 7846, 15692, 31384

Step-4: Factors of 62772

List of positive integer factors of 62772 that divides 62768 without a remainder.

1, 2, 3, 4, 6, 12, 5231, 10462, 15693, 20924, 31386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62768 and 62772. The biggest common factor number is the GCF number.
So the greatest common factor 62768 and 62772 is 4.

Also check out the Least Common Multiple of 62768 and 62772