What is the Greatest Common Factor of 65616 and 65630?

Greatest common factor (GCF) of 65616 and 65630 is 2.

GCF(65616,65630) = 2

We will now calculate the prime factors of 65616 and 65630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65616 and 65630.

How to find the GCF of 65616 and 65630?

We will first find the prime factorization of 65616 and 65630. After we will calculate the factors of 65616 and 65630 and find the biggest common factor number .

Step-1: Prime Factorization of 65616

Prime factors of 65616 are 2, 3, 1367. Prime factorization of 65616 in exponential form is:

65616 = 2⁴ × 3¹ × 1367¹

Step-2: Prime Factorization of 65630

Prime factors of 65630 are 2, 5, 6563. Prime factorization of 65630 in exponential form is:

65630 = 2¹ × 5¹ × 6563¹

Step-3: Factors of 65616

List of positive integer factors of 65616 that divides 65616 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1367, 2734, 4101, 5468, 8202, 10936, 16404, 21872, 32808

Step-4: Factors of 65630

List of positive integer factors of 65630 that divides 65616 without a remainder.

1, 2, 5, 10, 6563, 13126, 32815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65616 and 65630. The biggest common factor number is the GCF number.
So the greatest common factor 65616 and 65630 is 2.

Also check out the Least Common Multiple of 65616 and 65630