What is the Greatest Common Factor of 95235 and 95240?

Greatest common factor (GCF) of 95235 and 95240 is 5.

GCF(95235,95240) = 5

We will now calculate the prime factors of 95235 and 95240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95235 and 95240.

How to find the GCF of 95235 and 95240?

We will first find the prime factorization of 95235 and 95240. After we will calculate the factors of 95235 and 95240 and find the biggest common factor number .

Step-1: Prime Factorization of 95235

Prime factors of 95235 are 3, 5, 7, 907. Prime factorization of 95235 in exponential form is:

95235 = 3¹ × 5¹ × 7¹ × 907¹

Step-2: Prime Factorization of 95240

Prime factors of 95240 are 2, 5, 2381. Prime factorization of 95240 in exponential form is:

95240 = 2³ × 5¹ × 2381¹

Step-3: Factors of 95235

List of positive integer factors of 95235 that divides 95235 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 907, 2721, 4535, 6349, 13605, 19047, 31745

Step-4: Factors of 95240

List of positive integer factors of 95240 that divides 95235 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2381, 4762, 9524, 11905, 19048, 23810, 47620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95235 and 95240. The biggest common factor number is the GCF number.
So the greatest common factor 95235 and 95240 is 5.

Also check out the Least Common Multiple of 95235 and 95240