What is the Greatest Common Factor of 62752 and 62758?

Greatest common factor (GCF) of 62752 and 62758 is 2.

GCF(62752,62758) = 2

We will now calculate the prime factors of 62752 and 62758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62752 and 62758.

How to find the GCF of 62752 and 62758?

We will first find the prime factorization of 62752 and 62758. After we will calculate the factors of 62752 and 62758 and find the biggest common factor number .

Step-1: Prime Factorization of 62752

Prime factors of 62752 are 2, 37, 53. Prime factorization of 62752 in exponential form is:

62752 = 2⁵ × 37¹ × 53¹

Step-2: Prime Factorization of 62758

Prime factors of 62758 are 2, 31379. Prime factorization of 62758 in exponential form is:

62758 = 2¹ × 31379¹

Step-3: Factors of 62752

List of positive integer factors of 62752 that divides 62752 without a remainder.

1, 2, 4, 8, 16, 32, 37, 53, 74, 106, 148, 212, 296, 424, 592, 848, 1184, 1696, 1961, 3922, 7844, 15688, 31376

Step-4: Factors of 62758

List of positive integer factors of 62758 that divides 62752 without a remainder.

1, 2, 31379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62752 and 62758. The biggest common factor number is the GCF number.
So the greatest common factor 62752 and 62758 is 2.

Also check out the Least Common Multiple of 62752 and 62758