What is the Greatest Common Factor of 64490 and 64504?

Greatest common factor (GCF) of 64490 and 64504 is 2.

GCF(64490,64504) = 2

We will now calculate the prime factors of 64490 and 64504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64490 and 64504.

How to find the GCF of 64490 and 64504?

We will first find the prime factorization of 64490 and 64504. After we will calculate the factors of 64490 and 64504 and find the biggest common factor number .

Step-1: Prime Factorization of 64490

Prime factors of 64490 are 2, 5, 6449. Prime factorization of 64490 in exponential form is:

64490 = 2¹ × 5¹ × 6449¹

Step-2: Prime Factorization of 64504

Prime factors of 64504 are 2, 11, 733. Prime factorization of 64504 in exponential form is:

64504 = 2³ × 11¹ × 733¹

Step-3: Factors of 64490

List of positive integer factors of 64490 that divides 64490 without a remainder.

1, 2, 5, 10, 6449, 12898, 32245

Step-4: Factors of 64504

List of positive integer factors of 64504 that divides 64490 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 733, 1466, 2932, 5864, 8063, 16126, 32252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64490 and 64504. The biggest common factor number is the GCF number.
So the greatest common factor 64490 and 64504 is 2.

Also check out the Least Common Multiple of 64490 and 64504