What is the Greatest Common Factor of 85862 and 85869?

Greatest common factor (GCF) of 85862 and 85869 is 7.

GCF(85862,85869) = 7

We will now calculate the prime factors of 85862 and 85869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85862 and 85869.

How to find the GCF of 85862 and 85869?

We will first find the prime factorization of 85862 and 85869. After we will calculate the factors of 85862 and 85869 and find the biggest common factor number .

Step-1: Prime Factorization of 85862

Prime factors of 85862 are 2, 7, 6133. Prime factorization of 85862 in exponential form is:

85862 = 2¹ × 7¹ × 6133¹

Step-2: Prime Factorization of 85869

Prime factors of 85869 are 3, 7, 29, 47. Prime factorization of 85869 in exponential form is:

85869 = 3² × 7¹ × 29¹ × 47¹

Step-3: Factors of 85862

List of positive integer factors of 85862 that divides 85862 without a remainder.

1, 2, 7, 14, 6133, 12266, 42931

Step-4: Factors of 85869

List of positive integer factors of 85869 that divides 85862 without a remainder.

1, 3, 7, 9, 21, 29, 47, 63, 87, 141, 203, 261, 329, 423, 609, 987, 1363, 1827, 2961, 4089, 9541, 12267, 28623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85862 and 85869. The biggest common factor number is the GCF number.
So the greatest common factor 85862 and 85869 is 7.

Also check out the Least Common Multiple of 85862 and 85869