What is the Greatest Common Factor of 71485 and 71502?

Greatest common factor (GCF) of 71485 and 71502 is 17.

GCF(71485,71502) = 17

We will now calculate the prime factors of 71485 and 71502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71485 and 71502.

How to find the GCF of 71485 and 71502?

We will first find the prime factorization of 71485 and 71502. After we will calculate the factors of 71485 and 71502 and find the biggest common factor number .

Step-1: Prime Factorization of 71485

Prime factors of 71485 are 5, 17, 29. Prime factorization of 71485 in exponential form is:

71485 = 5¹ × 17¹ × 29²

Step-2: Prime Factorization of 71502

Prime factors of 71502 are 2, 3, 17, 701. Prime factorization of 71502 in exponential form is:

71502 = 2¹ × 3¹ × 17¹ × 701¹

Step-3: Factors of 71485

List of positive integer factors of 71485 that divides 71485 without a remainder.

1, 5, 17, 29, 85, 145, 493, 841, 2465, 4205, 14297

Step-4: Factors of 71502

List of positive integer factors of 71502 that divides 71485 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 701, 1402, 2103, 4206, 11917, 23834, 35751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71485 and 71502. The biggest common factor number is the GCF number.
So the greatest common factor 71485 and 71502 is 17.

Also check out the Least Common Multiple of 71485 and 71502