What is the Greatest Common Factor of 85624 and 85634?

Greatest common factor (GCF) of 85624 and 85634 is 2.

GCF(85624,85634) = 2

We will now calculate the prime factors of 85624 and 85634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85624 and 85634.

How to find the GCF of 85624 and 85634?

We will first find the prime factorization of 85624 and 85634. After we will calculate the factors of 85624 and 85634 and find the biggest common factor number .

Step-1: Prime Factorization of 85624

Prime factors of 85624 are 2, 7, 11, 139. Prime factorization of 85624 in exponential form is:

85624 = 2³ × 7¹ × 11¹ × 139¹

Step-2: Prime Factorization of 85634

Prime factors of 85634 are 2, 47, 911. Prime factorization of 85634 in exponential form is:

85634 = 2¹ × 47¹ × 911¹

Step-3: Factors of 85624

List of positive integer factors of 85624 that divides 85624 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 139, 154, 278, 308, 556, 616, 973, 1112, 1529, 1946, 3058, 3892, 6116, 7784, 10703, 12232, 21406, 42812

Step-4: Factors of 85634

List of positive integer factors of 85634 that divides 85624 without a remainder.

1, 2, 47, 94, 911, 1822, 42817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85624 and 85634. The biggest common factor number is the GCF number.
So the greatest common factor 85624 and 85634 is 2.

Also check out the Least Common Multiple of 85624 and 85634