What is the Greatest Common Factor of 84610 and 84616?

Greatest common factor (GCF) of 84610 and 84616 is 2.

GCF(84610,84616) = 2

We will now calculate the prime factors of 84610 and 84616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84610 and 84616.

How to find the GCF of 84610 and 84616?

We will first find the prime factorization of 84610 and 84616. After we will calculate the factors of 84610 and 84616 and find the biggest common factor number .

Step-1: Prime Factorization of 84610

Prime factors of 84610 are 2, 5, 8461. Prime factorization of 84610 in exponential form is:

84610 = 2¹ × 5¹ × 8461¹

Step-2: Prime Factorization of 84616

Prime factors of 84616 are 2, 7, 1511. Prime factorization of 84616 in exponential form is:

84616 = 2³ × 7¹ × 1511¹

Step-3: Factors of 84610

List of positive integer factors of 84610 that divides 84610 without a remainder.

1, 2, 5, 10, 8461, 16922, 42305

Step-4: Factors of 84616

List of positive integer factors of 84616 that divides 84610 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1511, 3022, 6044, 10577, 12088, 21154, 42308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84610 and 84616. The biggest common factor number is the GCF number.
So the greatest common factor 84610 and 84616 is 2.

Also check out the Least Common Multiple of 84610 and 84616