What is the Greatest Common Factor of 83048 and 83055?

Greatest common factor (GCF) of 83048 and 83055 is 7.

GCF(83048,83055) = 7

We will now calculate the prime factors of 83048 and 83055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83048 and 83055.

How to find the GCF of 83048 and 83055?

We will first find the prime factorization of 83048 and 83055. After we will calculate the factors of 83048 and 83055 and find the biggest common factor number .

Step-1: Prime Factorization of 83048

Prime factors of 83048 are 2, 7, 1483. Prime factorization of 83048 in exponential form is:

83048 = 2³ × 7¹ × 1483¹

Step-2: Prime Factorization of 83055

Prime factors of 83055 are 3, 5, 7, 113. Prime factorization of 83055 in exponential form is:

83055 = 3¹ × 5¹ × 7² × 113¹

Step-3: Factors of 83048

List of positive integer factors of 83048 that divides 83048 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1483, 2966, 5932, 10381, 11864, 20762, 41524

Step-4: Factors of 83055

List of positive integer factors of 83055 that divides 83048 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 113, 147, 245, 339, 565, 735, 791, 1695, 2373, 3955, 5537, 11865, 16611, 27685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83048 and 83055. The biggest common factor number is the GCF number.
So the greatest common factor 83048 and 83055 is 7.

Also check out the Least Common Multiple of 83048 and 83055