What is the Greatest Common Factor of 85624 and 85635?

Greatest common factor (GCF) of 85624 and 85635 is 11.

GCF(85624,85635) = 11

We will now calculate the prime factors of 85624 and 85635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85624 and 85635.

How to find the GCF of 85624 and 85635?

We will first find the prime factorization of 85624 and 85635. After we will calculate the factors of 85624 and 85635 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 85635

Prime factors of 85635 are 3, 5, 11, 173. Prime factorization of 85635 in exponential form is:

85635 = 3² × 5¹ × 11¹ × 173¹

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 85635

List of positive integer factors of 85635 that divides 85624 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 173, 495, 519, 865, 1557, 1903, 2595, 5709, 7785, 9515, 17127, 28545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85624 and 85635. The biggest common factor number is the GCF number.
So the greatest common factor 85624 and 85635 is 11.

Also check out the Least Common Multiple of 85624 and 85635