What is the Greatest Common Factor of 85386 and 85400?

Greatest common factor (GCF) of 85386 and 85400 is 14.

GCF(85386,85400) = 14

We will now calculate the prime factors of 85386 and 85400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85386 and 85400.

How to find the GCF of 85386 and 85400?

We will first find the prime factorization of 85386 and 85400. After we will calculate the factors of 85386 and 85400 and find the biggest common factor number .

Step-1: Prime Factorization of 85386

Prime factors of 85386 are 2, 3, 7, 19, 107. Prime factorization of 85386 in exponential form is:

85386 = 2¹ × 3¹ × 7¹ × 19¹ × 107¹

Step-2: 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-3: Factors of 85386

List of positive integer factors of 85386 that divides 85386 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 107, 114, 133, 214, 266, 321, 399, 642, 749, 798, 1498, 2033, 2247, 4066, 4494, 6099, 12198, 14231, 28462, 42693

Step-4: Factors of 85400

List of positive integer factors of 85400 that divides 85386 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85386 and 85400. The biggest common factor number is the GCF number.
So the greatest common factor 85386 and 85400 is 14.

Also check out the Least Common Multiple of 85386 and 85400