What is the Greatest Common Factor of 83748 and 83755?

Greatest common factor (GCF) of 83748 and 83755 is 7.

GCF(83748,83755) = 7

We will now calculate the prime factors of 83748 and 83755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83748 and 83755.

How to find the GCF of 83748 and 83755?

We will first find the prime factorization of 83748 and 83755. After we will calculate the factors of 83748 and 83755 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83755

Prime factors of 83755 are 5, 7, 2393. Prime factorization of 83755 in exponential form is:

83755 = 5¹ × 7¹ × 2393¹

Step-3: Factors of 83748

List of positive integer factors of 83748 that divides 83748 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

Step-4: Factors of 83755

List of positive integer factors of 83755 that divides 83748 without a remainder.

1, 5, 7, 35, 2393, 11965, 16751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83748 and 83755. The biggest common factor number is the GCF number.
So the greatest common factor 83748 and 83755 is 7.

Also check out the Least Common Multiple of 83748 and 83755