What is the Greatest Common Factor of 71235 and 71240?

Greatest common factor (GCF) of 71235 and 71240 is 5.

GCF(71235,71240) = 5

We will now calculate the prime factors of 71235 and 71240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71235 and 71240.

How to find the GCF of 71235 and 71240?

We will first find the prime factorization of 71235 and 71240. After we will calculate the factors of 71235 and 71240 and find the biggest common factor number .

Step-1: Prime Factorization of 71235

Prime factors of 71235 are 3, 5, 1583. Prime factorization of 71235 in exponential form is:

71235 = 3² × 5¹ × 1583¹

Step-2: Prime Factorization of 71240

Prime factors of 71240 are 2, 5, 13, 137. Prime factorization of 71240 in exponential form is:

71240 = 2³ × 5¹ × 13¹ × 137¹

Step-3: Factors of 71235

List of positive integer factors of 71235 that divides 71235 without a remainder.

1, 3, 5, 9, 15, 45, 1583, 4749, 7915, 14247, 23745

Step-4: Factors of 71240

List of positive integer factors of 71240 that divides 71235 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 137, 260, 274, 520, 548, 685, 1096, 1370, 1781, 2740, 3562, 5480, 7124, 8905, 14248, 17810, 35620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71235 and 71240. The biggest common factor number is the GCF number.
So the greatest common factor 71235 and 71240 is 5.

Also check out the Least Common Multiple of 71235 and 71240