What is the Greatest Common Factor of 83741 and 83748?

Greatest common factor (GCF) of 83741 and 83748 is 7.

GCF(83741,83748) = 7

We will now calculate the prime factors of 83741 and 83748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83741 and 83748.

How to find the GCF of 83741 and 83748?

We will first find the prime factorization of 83741 and 83748. After we will calculate the factors of 83741 and 83748 and find the biggest common factor number .

Step-1: Prime Factorization of 83741

Prime factors of 83741 are 7, 1709. Prime factorization of 83741 in exponential form is:

83741 = 7² × 1709¹

Step-2: Prime Factorization of 83748

Prime factors of 83748 are 2, 3, 7, 997. Prime factorization of 83748 in exponential form is:

83748 = 2² × 3¹ × 7¹ × 997¹

Step-3: Factors of 83741

List of positive integer factors of 83741 that divides 83741 without a remainder.

1, 7, 49, 1709, 11963

Step-4: Factors of 83748

List of positive integer factors of 83748 that divides 83741 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 997, 1994, 2991, 3988, 5982, 6979, 11964, 13958, 20937, 27916, 41874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83741 and 83748. The biggest common factor number is the GCF number.
So the greatest common factor 83741 and 83748 is 7.

Also check out the Least Common Multiple of 83741 and 83748