What is the Greatest Common Factor of 62748 and 62752?

Greatest common factor (GCF) of 62748 and 62752 is 4.

GCF(62748,62752) = 4

We will now calculate the prime factors of 62748 and 62752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62748 and 62752.

How to find the GCF of 62748 and 62752?

We will first find the prime factorization of 62748 and 62752. After we will calculate the factors of 62748 and 62752 and find the biggest common factor number .

Step-1: Prime Factorization of 62748

Prime factors of 62748 are 2, 3, 7, 83. Prime factorization of 62748 in exponential form is:

62748 = 2² × 3³ × 7¹ × 83¹

Step-2: 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-3: Factors of 62748

List of positive integer factors of 62748 that divides 62748 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 83, 84, 108, 126, 166, 189, 249, 252, 332, 378, 498, 581, 747, 756, 996, 1162, 1494, 1743, 2241, 2324, 2988, 3486, 4482, 5229, 6972, 8964, 10458, 15687, 20916, 31374

Step-4: Factors of 62752

List of positive integer factors of 62752 that divides 62748 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62748 and 62752. The biggest common factor number is the GCF number.
So the greatest common factor 62748 and 62752 is 4.

Also check out the Least Common Multiple of 62748 and 62752