What is the Greatest Common Factor of 64505 and 64525?

Greatest common factor (GCF) of 64505 and 64525 is 5.

GCF(64505,64525) = 5

We will now calculate the prime factors of 64505 and 64525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64505 and 64525.

How to find the GCF of 64505 and 64525?

We will first find the prime factorization of 64505 and 64525. After we will calculate the factors of 64505 and 64525 and find the biggest common factor number .

Step-1: Prime Factorization of 64505

Prime factors of 64505 are 5, 7, 19, 97. Prime factorization of 64505 in exponential form is:

64505 = 5¹ × 7¹ × 19¹ × 97¹

Step-2: Prime Factorization of 64525

Prime factors of 64525 are 5, 29, 89. Prime factorization of 64525 in exponential form is:

64525 = 5² × 29¹ × 89¹

Step-3: Factors of 64505

List of positive integer factors of 64505 that divides 64505 without a remainder.

1, 5, 7, 19, 35, 95, 97, 133, 485, 665, 679, 1843, 3395, 9215, 12901

Step-4: Factors of 64525

List of positive integer factors of 64525 that divides 64505 without a remainder.

1, 5, 25, 29, 89, 145, 445, 725, 2225, 2581, 12905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64505 and 64525. The biggest common factor number is the GCF number.
So the greatest common factor 64505 and 64525 is 5.

Also check out the Least Common Multiple of 64505 and 64525