What is the Greatest Common Factor of 62741 and 62748?

Greatest common factor (GCF) of 62741 and 62748 is 7.

GCF(62741,62748) = 7

We will now calculate the prime factors of 62741 and 62748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62741 and 62748.

How to find the GCF of 62741 and 62748?

We will first find the prime factorization of 62741 and 62748. After we will calculate the factors of 62741 and 62748 and find the biggest common factor number .

Step-1: Prime Factorization of 62741

Prime factors of 62741 are 7, 8963. Prime factorization of 62741 in exponential form is:

62741 = 7¹ × 8963¹

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 62741

List of positive integer factors of 62741 that divides 62741 without a remainder.

1, 7, 8963

Step-4: Factors of 62748

List of positive integer factors of 62748 that divides 62741 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 62741 and 62748. The biggest common factor number is the GCF number.
So the greatest common factor 62741 and 62748 is 7.

Also check out the Least Common Multiple of 62741 and 62748