What is the Greatest Common Factor of 62744 and 62748?

Greatest common factor (GCF) of 62744 and 62748 is 4.

GCF(62744,62748) = 4

We will now calculate the prime factors of 62744 and 62748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62744 and 62748.

How to find the GCF of 62744 and 62748?

We will first find the prime factorization of 62744 and 62748. After we will calculate the factors of 62744 and 62748 and find the biggest common factor number .

Step-1: Prime Factorization of 62744

Prime factors of 62744 are 2, 11, 23, 31. Prime factorization of 62744 in exponential form is:

62744 = 2³ × 11¹ × 23¹ × 31¹

Step-2: 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-3: Factors of 62744

List of positive integer factors of 62744 that divides 62744 without a remainder.

1, 2, 4, 8, 11, 22, 23, 31, 44, 46, 62, 88, 92, 124, 184, 248, 253, 341, 506, 682, 713, 1012, 1364, 1426, 2024, 2728, 2852, 5704, 7843, 15686, 31372

Step-4: Factors of 62748

List of positive integer factors of 62748 that divides 62744 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62744 and 62748. The biggest common factor number is the GCF number.
So the greatest common factor 62744 and 62748 is 4.

Also check out the Least Common Multiple of 62744 and 62748