What is the Greatest Common Factor of 71616 and 71630?

Greatest common factor (GCF) of 71616 and 71630 is 2.

GCF(71616,71630) = 2

We will now calculate the prime factors of 71616 and 71630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71616 and 71630.

How to find the GCF of 71616 and 71630?

We will first find the prime factorization of 71616 and 71630. After we will calculate the factors of 71616 and 71630 and find the biggest common factor number .

Step-1: Prime Factorization of 71616

Prime factors of 71616 are 2, 3, 373. Prime factorization of 71616 in exponential form is:

71616 = 2⁶ × 3¹ × 373¹

Step-2: Prime Factorization of 71630

Prime factors of 71630 are 2, 5, 13, 19, 29. Prime factorization of 71630 in exponential form is:

71630 = 2¹ × 5¹ × 13¹ × 19¹ × 29¹

Step-3: Factors of 71616

List of positive integer factors of 71616 that divides 71616 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 373, 746, 1119, 1492, 2238, 2984, 4476, 5968, 8952, 11936, 17904, 23872, 35808

Step-4: Factors of 71630

List of positive integer factors of 71630 that divides 71616 without a remainder.

1, 2, 5, 10, 13, 19, 26, 29, 38, 58, 65, 95, 130, 145, 190, 247, 290, 377, 494, 551, 754, 1102, 1235, 1885, 2470, 2755, 3770, 5510, 7163, 14326, 35815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71616 and 71630. The biggest common factor number is the GCF number.
So the greatest common factor 71616 and 71630 is 2.

Also check out the Least Common Multiple of 71616 and 71630