What is the Greatest Common Factor of 57616 and 57630?

Greatest common factor (GCF) of 57616 and 57630 is 2.

GCF(57616,57630) = 2

We will now calculate the prime factors of 57616 and 57630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57616 and 57630.

How to find the GCF of 57616 and 57630?

We will first find the prime factorization of 57616 and 57630. After we will calculate the factors of 57616 and 57630 and find the biggest common factor number .

Step-1: Prime Factorization of 57616

Prime factors of 57616 are 2, 13, 277. Prime factorization of 57616 in exponential form is:

57616 = 2⁴ × 13¹ × 277¹

Step-2: Prime Factorization of 57630

Prime factors of 57630 are 2, 3, 5, 17, 113. Prime factorization of 57630 in exponential form is:

57630 = 2¹ × 3¹ × 5¹ × 17¹ × 113¹

Step-3: Factors of 57616

List of positive integer factors of 57616 that divides 57616 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 277, 554, 1108, 2216, 3601, 4432, 7202, 14404, 28808

Step-4: Factors of 57630

List of positive integer factors of 57630 that divides 57616 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 113, 170, 226, 255, 339, 510, 565, 678, 1130, 1695, 1921, 3390, 3842, 5763, 9605, 11526, 19210, 28815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57616 and 57630. The biggest common factor number is the GCF number.
So the greatest common factor 57616 and 57630 is 2.

Also check out the Least Common Multiple of 57616 and 57630