What is the Greatest Common Factor of 64465 and 64485?

Greatest common factor (GCF) of 64465 and 64485 is 5.

GCF(64465,64485) = 5

We will now calculate the prime factors of 64465 and 64485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64465 and 64485.

How to find the GCF of 64465 and 64485?

We will first find the prime factorization of 64465 and 64485. After we will calculate the factors of 64465 and 64485 and find the biggest common factor number .

Step-1: Prime Factorization of 64465

Prime factors of 64465 are 5, 12893. Prime factorization of 64465 in exponential form is:

64465 = 5¹ × 12893¹

Step-2: Prime Factorization of 64485

Prime factors of 64485 are 3, 5, 1433. Prime factorization of 64485 in exponential form is:

64485 = 3² × 5¹ × 1433¹

Step-3: Factors of 64465

List of positive integer factors of 64465 that divides 64465 without a remainder.

1, 5, 12893

Step-4: Factors of 64485

List of positive integer factors of 64485 that divides 64465 without a remainder.

1, 3, 5, 9, 15, 45, 1433, 4299, 7165, 12897, 21495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64465 and 64485. The biggest common factor number is the GCF number.
So the greatest common factor 64465 and 64485 is 5.

Also check out the Least Common Multiple of 64465 and 64485