What is the Greatest Common Factor of 85400 and 85415?

Greatest common factor (GCF) of 85400 and 85415 is 5.

GCF(85400,85415) = 5

We will now calculate the prime factors of 85400 and 85415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85400 and 85415.

How to find the GCF of 85400 and 85415?

We will first find the prime factorization of 85400 and 85415. After we will calculate the factors of 85400 and 85415 and find the biggest common factor number .

Step-1: Prime Factorization of 85400

Prime factors of 85400 are 2, 5, 7, 61. Prime factorization of 85400 in exponential form is:

85400 = 2³ × 5² × 7¹ × 61¹

Step-2: Prime Factorization of 85415

Prime factors of 85415 are 5, 11, 1553. Prime factorization of 85415 in exponential form is:

85415 = 5¹ × 11¹ × 1553¹

Step-3: Factors of 85400

List of positive integer factors of 85400 that divides 85400 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 61, 70, 100, 122, 140, 175, 200, 244, 280, 305, 350, 427, 488, 610, 700, 854, 1220, 1400, 1525, 1708, 2135, 2440, 3050, 3416, 4270, 6100, 8540, 10675, 12200, 17080, 21350, 42700

Step-4: Factors of 85415

List of positive integer factors of 85415 that divides 85400 without a remainder.

1, 5, 11, 55, 1553, 7765, 17083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85400 and 85415. The biggest common factor number is the GCF number.
So the greatest common factor 85400 and 85415 is 5.

Also check out the Least Common Multiple of 85400 and 85415