What is the Greatest Common Factor of 85820 and 85834?

Greatest common factor (GCF) of 85820 and 85834 is 14.

GCF(85820,85834) = 14

We will now calculate the prime factors of 85820 and 85834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85820 and 85834.

How to find the GCF of 85820 and 85834?

We will first find the prime factorization of 85820 and 85834. After we will calculate the factors of 85820 and 85834 and find the biggest common factor number .

Step-1: Prime Factorization of 85820

Prime factors of 85820 are 2, 5, 7, 613. Prime factorization of 85820 in exponential form is:

85820 = 2² × 5¹ × 7¹ × 613¹

Step-2: Prime Factorization of 85834

Prime factors of 85834 are 2, 7, 6131. Prime factorization of 85834 in exponential form is:

85834 = 2¹ × 7¹ × 6131¹

Step-3: Factors of 85820

List of positive integer factors of 85820 that divides 85820 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 613, 1226, 2452, 3065, 4291, 6130, 8582, 12260, 17164, 21455, 42910

Step-4: Factors of 85834

List of positive integer factors of 85834 that divides 85820 without a remainder.

1, 2, 7, 14, 6131, 12262, 42917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85820 and 85834. The biggest common factor number is the GCF number.
So the greatest common factor 85820 and 85834 is 14.

Also check out the Least Common Multiple of 85820 and 85834