What is the Greatest Common Factor of 85610 and 85624?

Greatest common factor (GCF) of 85610 and 85624 is 14.

GCF(85610,85624) = 14

We will now calculate the prime factors of 85610 and 85624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85610 and 85624.

How to find the GCF of 85610 and 85624?

We will first find the prime factorization of 85610 and 85624. After we will calculate the factors of 85610 and 85624 and find the biggest common factor number .

Step-1: Prime Factorization of 85610

Prime factors of 85610 are 2, 5, 7, 1223. Prime factorization of 85610 in exponential form is:

85610 = 2¹ × 5¹ × 7¹ × 1223¹

Step-2: 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-3: Factors of 85610

List of positive integer factors of 85610 that divides 85610 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1223, 2446, 6115, 8561, 12230, 17122, 42805

Step-4: Factors of 85624

List of positive integer factors of 85624 that divides 85610 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85610 and 85624. The biggest common factor number is the GCF number.
So the greatest common factor 85610 and 85624 is 14.

Also check out the Least Common Multiple of 85610 and 85624