What is the Greatest Common Factor of 62748 and 62764?

Greatest common factor (GCF) of 62748 and 62764 is 4.

GCF(62748,62764) = 4

We will now calculate the prime factors of 62748 and 62764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62748 and 62764.

How to find the GCF of 62748 and 62764?

We will first find the prime factorization of 62748 and 62764. After we will calculate the factors of 62748 and 62764 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 62764

Prime factors of 62764 are 2, 13, 17, 71. Prime factorization of 62764 in exponential form is:

62764 = 2² × 13¹ × 17¹ × 71¹

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 62764

List of positive integer factors of 62764 that divides 62748 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 71, 142, 221, 284, 442, 884, 923, 1207, 1846, 2414, 3692, 4828, 15691, 31382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62748 and 62764. The biggest common factor number is the GCF number.
So the greatest common factor 62748 and 62764 is 4.

Also check out the Least Common Multiple of 62748 and 62764