What is the Greatest Common Factor of 83545 and 83552?

Greatest common factor (GCF) of 83545 and 83552 is 7.

GCF(83545,83552) = 7

We will now calculate the prime factors of 83545 and 83552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83545 and 83552.

How to find the GCF of 83545 and 83552?

We will first find the prime factorization of 83545 and 83552. After we will calculate the factors of 83545 and 83552 and find the biggest common factor number .

Step-1: Prime Factorization of 83545

Prime factors of 83545 are 5, 7, 11, 31. Prime factorization of 83545 in exponential form is:

83545 = 5¹ × 7² × 11¹ × 31¹

Step-2: Prime Factorization of 83552

Prime factors of 83552 are 2, 7, 373. Prime factorization of 83552 in exponential form is:

83552 = 2⁵ × 7¹ × 373¹

Step-3: Factors of 83545

List of positive integer factors of 83545 that divides 83545 without a remainder.

1, 5, 7, 11, 31, 35, 49, 55, 77, 155, 217, 245, 341, 385, 539, 1085, 1519, 1705, 2387, 2695, 7595, 11935, 16709

Step-4: Factors of 83552

List of positive integer factors of 83552 that divides 83545 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 373, 746, 1492, 2611, 2984, 5222, 5968, 10444, 11936, 20888, 41776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83545 and 83552. The biggest common factor number is the GCF number.
So the greatest common factor 83545 and 83552 is 7.

Also check out the Least Common Multiple of 83545 and 83552