What is the Greatest Common Factor of 22616 and 22630?

Greatest common factor (GCF) of 22616 and 22630 is 2.

GCF(22616,22630) = 2

We will now calculate the prime factors of 22616 and 22630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22616 and 22630.

How to find the GCF of 22616 and 22630?

We will first find the prime factorization of 22616 and 22630. After we will calculate the factors of 22616 and 22630 and find the biggest common factor number .

Step-1: Prime Factorization of 22616

Prime factors of 22616 are 2, 11, 257. Prime factorization of 22616 in exponential form is:

22616 = 2³ × 11¹ × 257¹

Step-2: Prime Factorization of 22630

Prime factors of 22630 are 2, 5, 31, 73. Prime factorization of 22630 in exponential form is:

22630 = 2¹ × 5¹ × 31¹ × 73¹

Step-3: Factors of 22616

List of positive integer factors of 22616 that divides 22616 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 257, 514, 1028, 2056, 2827, 5654, 11308

Step-4: Factors of 22630

List of positive integer factors of 22630 that divides 22616 without a remainder.

1, 2, 5, 10, 31, 62, 73, 146, 155, 310, 365, 730, 2263, 4526, 11315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22616 and 22630. The biggest common factor number is the GCF number.
So the greatest common factor 22616 and 22630 is 2.

Also check out the Least Common Multiple of 22616 and 22630