What is the Greatest Common Factor of 62748 and 62762?

Greatest common factor (GCF) of 62748 and 62762 is 14.

GCF(62748,62762) = 14

We will now calculate the prime factors of 62748 and 62762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62748 and 62762.

How to find the GCF of 62748 and 62762?

We will first find the prime factorization of 62748 and 62762. After we will calculate the factors of 62748 and 62762 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 62762

Prime factors of 62762 are 2, 7, 4483. Prime factorization of 62762 in exponential form is:

62762 = 2¹ × 7¹ × 4483¹

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 62762

List of positive integer factors of 62762 that divides 62748 without a remainder.

1, 2, 7, 14, 4483, 8966, 31381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62748 and 62762. The biggest common factor number is the GCF number.
So the greatest common factor 62748 and 62762 is 14.

Also check out the Least Common Multiple of 62748 and 62762