What is the Greatest Common Factor of 64492 and 64504?

Greatest common factor (GCF) of 64492 and 64504 is 4.

GCF(64492,64504) = 4

We will now calculate the prime factors of 64492 and 64504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64492 and 64504.

How to find the GCF of 64492 and 64504?

We will first find the prime factorization of 64492 and 64504. After we will calculate the factors of 64492 and 64504 and find the biggest common factor number .

Step-1: Prime Factorization of 64492

Prime factors of 64492 are 2, 23, 701. Prime factorization of 64492 in exponential form is:

64492 = 2² × 23¹ × 701¹

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 64492

List of positive integer factors of 64492 that divides 64492 without a remainder.

1, 2, 4, 23, 46, 92, 701, 1402, 2804, 16123, 32246

Step-4: Factors of 64504

List of positive integer factors of 64504 that divides 64492 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 64492 and 64504. The biggest common factor number is the GCF number.
So the greatest common factor 64492 and 64504 is 4.

Also check out the Least Common Multiple of 64492 and 64504