What is the Greatest Common Factor of 71435 and 71448?

Greatest common factor (GCF) of 71435 and 71448 is 13.

GCF(71435,71448) = 13

We will now calculate the prime factors of 71435 and 71448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71435 and 71448.

How to find the GCF of 71435 and 71448?

We will first find the prime factorization of 71435 and 71448. After we will calculate the factors of 71435 and 71448 and find the biggest common factor number .

Step-1: Prime Factorization of 71435

Prime factors of 71435 are 5, 7, 13, 157. Prime factorization of 71435 in exponential form is:

71435 = 5¹ × 7¹ × 13¹ × 157¹

Step-2: Prime Factorization of 71448

Prime factors of 71448 are 2, 3, 13, 229. Prime factorization of 71448 in exponential form is:

71448 = 2³ × 3¹ × 13¹ × 229¹

Step-3: Factors of 71435

List of positive integer factors of 71435 that divides 71435 without a remainder.

1, 5, 7, 13, 35, 65, 91, 157, 455, 785, 1099, 2041, 5495, 10205, 14287

Step-4: Factors of 71448

List of positive integer factors of 71448 that divides 71435 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 229, 312, 458, 687, 916, 1374, 1832, 2748, 2977, 5496, 5954, 8931, 11908, 17862, 23816, 35724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71435 and 71448. The biggest common factor number is the GCF number.
So the greatest common factor 71435 and 71448 is 13.

Also check out the Least Common Multiple of 71435 and 71448