What is the Greatest Common Factor of 71225 and 71235?

Greatest common factor (GCF) of 71225 and 71235 is 5.

GCF(71225,71235) = 5

We will now calculate the prime factors of 71225 and 71235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71225 and 71235.

How to find the GCF of 71225 and 71235?

We will first find the prime factorization of 71225 and 71235. After we will calculate the factors of 71225 and 71235 and find the biggest common factor number .

Step-1: Prime Factorization of 71225

Prime factors of 71225 are 5, 7, 11, 37. Prime factorization of 71225 in exponential form is:

71225 = 5² × 7¹ × 11¹ × 37¹

Step-2: 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-3: Factors of 71225

List of positive integer factors of 71225 that divides 71225 without a remainder.

1, 5, 7, 11, 25, 35, 37, 55, 77, 175, 185, 259, 275, 385, 407, 925, 1295, 1925, 2035, 2849, 6475, 10175, 14245

Step-4: Factors of 71235

List of positive integer factors of 71235 that divides 71225 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71225 and 71235. The biggest common factor number is the GCF number.
So the greatest common factor 71225 and 71235 is 5.

Also check out the Least Common Multiple of 71225 and 71235