What is the Greatest Common Factor of 65919 and 65925?

Greatest common factor (GCF) of 65919 and 65925 is 3.

GCF(65919,65925) = 3

We will now calculate the prime factors of 65919 and 65925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65919 and 65925.

How to find the GCF of 65919 and 65925?

We will first find the prime factorization of 65919 and 65925. After we will calculate the factors of 65919 and 65925 and find the biggest common factor number .

Step-1: Prime Factorization of 65919

Prime factors of 65919 are 3, 7, 43, 73. Prime factorization of 65919 in exponential form is:

65919 = 3¹ × 7¹ × 43¹ × 73¹

Step-2: Prime Factorization of 65925

Prime factors of 65925 are 3, 5, 293. Prime factorization of 65925 in exponential form is:

65925 = 3² × 5² × 293¹

Step-3: Factors of 65919

List of positive integer factors of 65919 that divides 65919 without a remainder.

1, 3, 7, 21, 43, 73, 129, 219, 301, 511, 903, 1533, 3139, 9417, 21973

Step-4: Factors of 65925

List of positive integer factors of 65925 that divides 65919 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 293, 879, 1465, 2637, 4395, 7325, 13185, 21975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65919 and 65925. The biggest common factor number is the GCF number.
So the greatest common factor 65919 and 65925 is 3.

Also check out the Least Common Multiple of 65919 and 65925