What is the Greatest Common Factor of 85920 and 85925?

Greatest common factor (GCF) of 85920 and 85925 is 5.

GCF(85920,85925) = 5

We will now calculate the prime factors of 85920 and 85925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85920 and 85925.

How to find the GCF of 85920 and 85925?

We will first find the prime factorization of 85920 and 85925. After we will calculate the factors of 85920 and 85925 and find the biggest common factor number .

Step-1: Prime Factorization of 85920

Prime factors of 85920 are 2, 3, 5, 179. Prime factorization of 85920 in exponential form is:

85920 = 2⁵ × 3¹ × 5¹ × 179¹

Step-2: Prime Factorization of 85925

Prime factors of 85925 are 5, 7, 491. Prime factorization of 85925 in exponential form is:

85925 = 5² × 7¹ × 491¹

Step-3: Factors of 85920

List of positive integer factors of 85920 that divides 85920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 179, 240, 358, 480, 537, 716, 895, 1074, 1432, 1790, 2148, 2685, 2864, 3580, 4296, 5370, 5728, 7160, 8592, 10740, 14320, 17184, 21480, 28640, 42960

Step-4: Factors of 85925

List of positive integer factors of 85925 that divides 85920 without a remainder.

1, 5, 7, 25, 35, 175, 491, 2455, 3437, 12275, 17185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85920 and 85925. The biggest common factor number is the GCF number.
So the greatest common factor 85920 and 85925 is 5.

Also check out the Least Common Multiple of 85920 and 85925