What is the Greatest Common Factor of 85372 and 85386?

Greatest common factor (GCF) of 85372 and 85386 is 14.

GCF(85372,85386) = 14

We will now calculate the prime factors of 85372 and 85386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85372 and 85386.

How to find the GCF of 85372 and 85386?

We will first find the prime factorization of 85372 and 85386. After we will calculate the factors of 85372 and 85386 and find the biggest common factor number .

Step-1: Prime Factorization of 85372

Prime factors of 85372 are 2, 7, 3049. Prime factorization of 85372 in exponential form is:

85372 = 2² × 7¹ × 3049¹

Step-2: 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-3: Factors of 85372

List of positive integer factors of 85372 that divides 85372 without a remainder.

1, 2, 4, 7, 14, 28, 3049, 6098, 12196, 21343, 42686

Step-4: Factors of 85386

List of positive integer factors of 85386 that divides 85372 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85372 and 85386. The biggest common factor number is the GCF number.
So the greatest common factor 85372 and 85386 is 14.

Also check out the Least Common Multiple of 85372 and 85386